Course Modules

SYLLABUS

SYLLABUS SYLLABUS

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COURSE DESCRIPTION COURSE DESCRIPTION 1

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INSTRUCTOR AND CONTACT INFORMATION INSTRUCTOR AND CONTACT INFORMATION 2

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HELPFUL LINKS HELPFUL LINKS 3

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ASSIGNMENTS AND GRADE DISTRIBUTION ASSIGNMENTS AND GRADE DISTRIBUTION 4

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REQUIRED ITEMS, RULES AND GUIDELINES REQUIRED ITEMS, RULES AND GUIDELINES 5

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ACADEMIC DISHONESTY ACADEMIC DISHONESTY 6

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IMPORTANT DATES IMPORTANT DATES 7

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STUDENT LEARNING OUTCOME STUDENT LEARNING OUTCOME 8

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TEXT BOOK TEXT BOOK 9

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FINAL EXAM FINAL EXAM 10

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OFFICE HOURS OFFICE HOURS 11

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TUTORING AVAILABLE TUTORING AVAILABLE 12

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EXAM DATES EXAM DATES 13

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MODULE 1: (EXAM #1: WEDNESDAY 3/16/2022 12:45 PM TO 2:45 PM )

MODULE 1: (EXAM #1: WEDNESDAY 3/16/2022 12:45 PM TO 2:45 PM ) MODULE 1: (EXAM #1: WEDNESDAY 3/16/2022 12:45 PM TO 2:45 PM )

External Url

3 Introduction to Functions 3 Introduction to Functions 1

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Sections 3.1 and 3.2 Functions Sections 3.1 and 3.2 Functions 2

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External Url

3.1 Functions and Function Notation 3.1 Functions and Function Notation 3

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External Url

3.2 Domain and Range 3.2 Domain and Range 4

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Page

LECTURE : FUNCTIONS SECTION 3.1 LECTURE : FUNCTIONS SECTION 3.1 6

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Section 3.4 Combination of Functions: Composite Functions Section 3.4 Combination of Functions: Composite Functions 7

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External Url

3.4 Composition of Functions 3.4 Composition of Functions 8

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Section 3.7 Inverse Functions Section 3.7 Inverse Functions 9

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External Url

3.7 Inverse Functions 3.7 Inverse Functions 10

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LECTURE SECTION 3.4 and 3.7 LECTURE SECTION 3.4 and 3.7 11

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LECTURE 3.4 AND 3.7 LECTURE 3.4 AND 3.7 12

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External Url

7 Introduction to The Unit Circle: Sine and Cosine Functions 7 Introduction to The Unit Circle: Sine and Cosine Functions 13

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Section 7.1 Angles Section 7.1 Angles 14

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External Url

7.1 Angles 7.1 Angles 15

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Sections 7.2 and 7.3 Trigonometric Functions: The Unit Circle Sections 7.2 and 7.3 Trigonometric Functions: The Unit Circle 16

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External Url

7.2 Right Triangle Trigonometry 7.2 Right Triangle Trigonometry 17

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External Url

7.3 Unit Circle 7.3 Unit Circle 18

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Section 7.4: The Other Trigonometric Functions Section 7.4: The Other Trigonometric Functions 19

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External Url

7.4 The Other Trigonometric Functions 7.4 The Other Trigonometric Functions 20

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LECTURE SECTION 7.1 LECTURE SECTION 7.1 21

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LECTURE SECTION 7.1-2 LECTURE SECTION 7.1-2 22

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LECTURE SECTION 7.1-3 LECTURE SECTION 7.1-3 23

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LECTURE 7.2, 7.3 AND 7.4 LECTURE 7.2, 7.3 AND 7.4 24

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LECTURE SECTIONS 7.2,7.3 AND 7.4 LECTURE SECTIONS 7.2,7.3 AND 7.4 25

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Attachment

MATH 258 SAMPLE EXAM # 1.pdf MATH 258 SAMPLE EXAM # 1.pdf 27

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LECTURE SECTIONS 7.2,7.3 AND 7.4 LECTURE SECTIONS 7.2,7.3 AND 7.4 29

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LECTURE: Sections 7.2, 7.3 and 7.4 LECTURE: Sections 7.2, 7.3 and 7.4 30

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SAMPLE EXAM # 1 SOLUTION SAMPLE EXAM # 1 SOLUTION 31

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Assignment

HOME WORK # 1 SUBMISSION HOME WORK # 1 SUBMISSION 0 32

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Assignment

EXAM #1 EXAM #1 100 33

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Attachment

MATH 258 EXAM # 1 EXAM # 1 SOLUTION .pdf MATH 258 EXAM # 1 EXAM # 1 SOLUTION .pdf 35

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MODULE 2 ( EXAM # 2: MONDAY 4/11/2022 12:45 PM TO 2:45 PM )

MODULE 2 ( EXAM # 2: MONDAY 4/11/2022 12:45 PM TO 2:45 PM ) MODULE 2 ( EXAM # 2: MONDAY 4/11/2022 12:45 PM TO 2:45 PM )

External Url

8 Introduction to Periodic Functions 8 Introduction to Periodic Functions 1

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Page

Section 8.1 Graphs of Sine and Cosine Functions Section 8.1 Graphs of Sine and Cosine Functions 2

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External Url

8.1 Graphs of the Sine and Cosine Functions 8.1 Graphs of the Sine and Cosine Functions 3

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Section 8.2 Graphs of Other Trigonometric Functions Section 8.2 Graphs of Other Trigonometric Functions 4

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8.2 Graphs of the Other Trigonometric Functions 8.2 Graphs of the Other Trigonometric Functions 5

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LECTURE GRAPHING TRIGONOMETRIC FUNCTIONS LECTURE GRAPHING TRIGONOMETRIC FUNCTIONS 6

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LECTURE: GRAPHS OF TRIGONOMETRIC FUNCTIONS LECTURE: GRAPHS OF TRIGONOMETRIC FUNCTIONS 7

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SAMPLE EXAM # 2 AND SOLUTION SAMPLE EXAM # 2 AND SOLUTION 8

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LECTURE : GRAPHING TRIGONOMETRIC FUNCTIONS LECTURE : GRAPHING TRIGONOMETRIC FUNCTIONS 9

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EXAM # 2 EXAM # 2 100 10

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EXAM # 2 SOLUTION EXAM # 2 SOLUTION 11

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HOME WORK # 2 SUBMISSION HOME WORK # 2 SUBMISSION 0 12

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MODULE 3 ( EXAM # 3: WEDNESDAY 5/04/2022 12:45 PM TO 2:45 PM)

MODULE 3 ( EXAM # 3: WEDNESDAY 5/04/2022 12:45 PM TO 2:45 PM) MODULE 3 ( EXAM # 3: WEDNESDAY 5/04/2022 12:45 PM TO 2:45 PM)

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Section 8.3: Inverse Trigonometric Functions Section 8.3: Inverse Trigonometric Functions 1

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8.3 Inverse Trigonometric Functions 8.3 Inverse Trigonometric Functions 2

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LECTURE: SECTION 8.3: INVERSE TRIGONOMETRIC FUNCTIONS LECTURE: SECTION 8.3: INVERSE TRIGONOMETRIC FUNCTIONS 3

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9 Introduction to Trigonometric Identities and Equations 9 Introduction to Trigonometric Identities and Equations 4

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Section 9.1: Solving Trigonometric Equations With Identities Section 9.1: Solving Trigonometric Equations With Identities 5

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9.1 Solving Trigonometric Equations with Identities 9.1 Solving Trigonometric Equations with Identities 6

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LECTURE NOTE: TRIGONOMETRIC IDENTITIES LECTURE NOTE: TRIGONOMETRIC IDENTITIES 7

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Section 9.5: Solving Trigonometric Equations Section 9.5: Solving Trigonometric Equations 8

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9.5 Solving Trigonometric Equations 9.5 Solving Trigonometric Equations 9

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LECTURE: TRIGONOMETRIC EQUATIONS LECTURE: TRIGONOMETRIC EQUATIONS 10

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SAMPLE EXAM # 3 SAMPLE EXAM # 3 11

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SAMPLE EXAM # 3 SOLUTION SAMPLE EXAM # 3 SOLUTION 12

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EXAM # 3 EXAM # 3 100 13

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Assignment

HOME WORK # 3 SUBMISSION HOME WORK # 3 SUBMISSION 0 14

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MODULE 4 ( EXAM # 4: WEDNESDAY 5/25/2022 12:45PM TO 2:45 PM )

MODULE 4 ( EXAM # 4: WEDNESDAY 5/25/2022 12:45PM TO 2:45 PM ) MODULE 4 ( EXAM # 4: WEDNESDAY 5/25/2022 12:45PM TO 2:45 PM )

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SECTION 9.2 SECTION 9.2 1

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LECTURE: SUM AND DIFFERENCE FORMULAS LECTURE: SUM AND DIFFERENCE FORMULAS 2

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SECTION 9.2 SUM AND DIFFERENCE FORMULAS SECTION 9.2 SUM AND DIFFERENCE FORMULAS 3

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SECTION 9.4: MULTIPLE-ANGLE AND PRODUCT TO SUM FORMULAS SECTION 9.4: MULTIPLE-ANGLE AND PRODUCT TO SUM FORMULAS 4

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SAMPLE EXAM # 4 AND SAMPLE FINAL SAMPLE EXAM # 4 AND SAMPLE FINAL 5

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EXAM # 4 EXAM # 4 100 6

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HOME WORK # 4 SUBMISSION HOME WORK # 4 SUBMISSION 0 8

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FINAL EXAM WEDNESDAY 6/01/2022 1:00 PM TO 3:00 PM )

FINAL EXAM WEDNESDAY 6/01/2022 1:00 PM TO 3:00 PM ) FINAL EXAM WEDNESDAY 6/01/2022 1:00 PM TO 3:00 PM )

Assignment

FINAL EXAM FINAL EXAM 200 1

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Landing Page

Landing Page Landing Page

Page

Welcome to Algebra & Trigonometry Welcome to Algebra & Trigonometry 1

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Welcome to Algebra & Trigonometry (Alternative Front Page) Welcome to Algebra & Trigonometry (Alternative Front Page) 2

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Chapter 3

Chapter 3 Chapter 3

Context Module Sub Header

Chapter Readings 1

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External Url

3.3 Rates of Change and Behavior of Graphs 3.3 Rates of Change and Behavior of Graphs 5

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External Url

3.5 Transformation of Functions 3.5 Transformation of Functions 7

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External Url

3.6 Absolute Value Functions 3.6 Absolute Value Functions 8

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Chapter 4

Chapter 4 Chapter 4

Context Module Sub Header

Chapter Readings 1

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External Url

4 Introduction to Linear Functions 4 Introduction to Linear Functions 2

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External Url

4.1 Linear Functions 4.1 Linear Functions 3

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4.2 Modeling with Linear Functions 4.2 Modeling with Linear Functions 4

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4.3 Fitting Linear Models to Data 4.3 Fitting Linear Models to Data 5

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Chapter 5

Chapter 5 Chapter 5

Context Module Sub Header

Chapter Readings 1

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External Url

5 Introduction to Polynomial and Rational Functions 5 Introduction to Polynomial and Rational Functions 2

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External Url

5.1 Quadratic Functions 5.1 Quadratic Functions 3

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5.2 Power Functions and Polynomial Functions 5.2 Power Functions and Polynomial Functions 4

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5.3 Graphs of Polynomial Functions 5.3 Graphs of Polynomial Functions 5

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5.4 Dividing Polynomials 5.4 Dividing Polynomials 6

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5.5 Zeros of Polynomial Functions 5.5 Zeros of Polynomial Functions 7

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5.6 Rational Functions 5.6 Rational Functions 8

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5.7 Inverses and Radical Functions 5.7 Inverses and Radical Functions 9

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5.8 Modeling Using Variation 5.8 Modeling Using Variation 10

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Chapter 6

Chapter 6 Chapter 6

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Chapter Readings 1

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6 Introduction to Exponential and Logarithmic Functions 6 Introduction to Exponential and Logarithmic Functions 2

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6.1 Exponential Functions 6.1 Exponential Functions 3

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6.2 Graphs of Exponential Functions 6.2 Graphs of Exponential Functions 4

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6.3 Logarithmic Functions 6.3 Logarithmic Functions 5

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6.4 Graphs of Logarithmic Functions 6.4 Graphs of Logarithmic Functions 6

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6.5 Logarithmic Properties 6.5 Logarithmic Properties 7

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6.6 Exponential and Logarithmic Equations 6.6 Exponential and Logarithmic Equations 8

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6.7 Exponential and Logarithmic Models 6.7 Exponential and Logarithmic Models 9

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6.8 Fitting Exponential Models to Data 6.8 Fitting Exponential Models to Data 10

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Chapter 7

Chapter 7 Chapter 7

Context Module Sub Header

Chapter Readings 1

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Chapter 8

Chapter 8 Chapter 8

Context Module Sub Header

Chapter Readings 1

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Chapter 9

Chapter 9 Chapter 9

Context Module Sub Header

Chapter Readings 1

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9.2 Sum and Difference Identities 9.2 Sum and Difference Identities 4

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9.3 Double-Angle, Half-Angle, and Reduction Formulas 9.3 Double-Angle, Half-Angle, and Reduction Formulas 5

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9.4 Sum-to-Product and Product-to-Sum Formulas 9.4 Sum-to-Product and Product-to-Sum Formulas 6

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Chapter 10

Chapter 10 Chapter 10

Context Module Sub Header

Chapter Readings 1

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10 Introduction to Further Applications of Trigonometry 10 Introduction to Further Applications of Trigonometry 2

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10.1 Non-right Triangles: Law of Sines 10.1 Non-right Triangles: Law of Sines 3

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10.2 Non-right Triangles: Law of Cosines 10.2 Non-right Triangles: Law of Cosines 4

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10.3 Polar Coordinates 10.3 Polar Coordinates 5

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10.4 Polar Coordinates: Graphs 10.4 Polar Coordinates: Graphs 6

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10.5 Polar Form of Complex Numbers 10.5 Polar Form of Complex Numbers 7

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10.6 Parametric Equations 10.6 Parametric Equations 8

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10.7 Parametric Equations: Graphs 10.7 Parametric Equations: Graphs 9

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10.8 Vectors 10.8 Vectors 10

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Chapter 11

Chapter 11 Chapter 11

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Chapter Readings 1

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11 Introduction to Systems of Equations and Inequalities 11 Introduction to Systems of Equations and Inequalities 2

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11.1 Systems of Linear Equations: Two Variables 11.1 Systems of Linear Equations: Two Variables 3

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11.2 Systems of Linear Equations: Three Variables 11.2 Systems of Linear Equations: Three Variables 4

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11.3 Systems of Nonlinear Equations and Inequalities: Two Variables 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables 5

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11.4 Partial Fractions 11.4 Partial Fractions 6

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11.5 Matrices and Matrix Operations 11.5 Matrices and Matrix Operations 7

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11.6 Solving Systems with Gaussian Elimination 11.6 Solving Systems with Gaussian Elimination 8

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11.7 Solving Systems with Inverses 11.7 Solving Systems with Inverses 9

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11.8 Solving Systems with Cramer's Rule 11.8 Solving Systems with Cramer's Rule 10

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Chapter 12

Chapter 12 Chapter 12

Context Module Sub Header

Chapter Readings 1

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12 Introduction to Analytic Geometry 12 Introduction to Analytic Geometry 2

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12.1 The Ellipse 12.1 The Ellipse 3

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12.2 The Hyperbola 12.2 The Hyperbola 4

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12.3 The Parabola 12.3 The Parabola 5

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12.4 Rotation of Axes 12.4 Rotation of Axes 6

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12.5 Conic Sections in Polar Coordinates 12.5 Conic Sections in Polar Coordinates 7

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Chapter 13

Chapter 13 Chapter 13

Context Module Sub Header

Chapter Readings 1

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13 Introduction to Sequences, Probability and Counting Theory 13 Introduction to Sequences, Probability and Counting Theory 2

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13.1 Sequences and Their Notations 13.1 Sequences and Their Notations 3

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13.2 Arithmetic Sequences 13.2 Arithmetic Sequences 4

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13.3 Geometric Sequences 13.3 Geometric Sequences 5

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13.4 Series and Their Notations 13.4 Series and Their Notations 6

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13.5 Counting Principles 13.5 Counting Principles 7

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13.6 Binomial Theorem 13.6 Binomial Theorem 8

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13.7 Probability 13.7 Probability 9

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Proofs, Identities, and Toolkit Functions Proofs, Identities, and Toolkit Functions 10

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Course Modules

SYLLABUS

MODULE 1: (EXAM #1: WEDNESDAY 3/16/2022 12:45 PM TO 2:45 PM )

MODULE 2 ( EXAM # 2: MONDAY 4/11/2022 12:45 PM TO 2:45 PM )

MODULE 3 ( EXAM # 3: WEDNESDAY 5/04/2022 12:45 PM TO 2:45 PM)

MODULE 4 ( EXAM # 4: WEDNESDAY 5/25/2022 12:45PM TO 2:45 PM )

FINAL EXAM WEDNESDAY 6/01/2022 1:00 PM TO 3:00 PM )

Landing Page

Chapter 3

Chapter Readings 1

Chapter 4

Chapter Readings 1

Chapter 5

Chapter Readings 1

Chapter 6

Chapter Readings 1

Chapter 7

Chapter Readings 1

Chapter 8

Chapter Readings 1

Chapter 9

Chapter Readings 1

Chapter 10

Chapter Readings 1

Chapter 11

Chapter Readings 1

Chapter 12

Chapter Readings 1

Chapter 13

Chapter Readings 1