Math 370 Material 

Math 370 Course Information

2017 Fall Syllabus

Sullivan Interact Math link at http://www.interactmath.com

Practice questions for Reviewing Math 120, Math 335 and problems to help with the current course http://www.ixl.com/math

A free algebra solver

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Chapter 2 Functions

Homework:

Sullivan Book Lecture

Additional Lecture to supplement the in class lecture and the book lecture

2-1 HW Introduction to Functions

2-1 Introduction to Functions

2-1A Introduction to Functions Lecture

2-1B Function Notation Lecture

2-2 HW Graphs Of Basic Functions

2-2 Graphs of the Basic Functions

2-2A Graphs Of Basic Functions Lecture

2-2B Transformations Of Basic Graphs Intro Lecture

2-2C Transformations Of Basic Graphs Examples Lecture

2-2D Transformations Of Basic Graphs Notation Examples

2-2E Graphs with limited domains Lecture

2-3 HW Operations on Functions

2-3 Operations on Functions

2-3A Operations on Functions Lecture

2-3B The Domain of Functions Lecture

2-3C The Domain of Composite Functions Lecture

2-3D Even and Odd Functions Lecture

2-4 HW Inverse Functions

2-4 Inverse Functions

2-4A 1-1 Functions Lecture

2-4B Inverse Functions Lecture

Chapter 2 Review

Chapter 2 Answers

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Chapter 5 Logs

Homework

Sullivan Book Lecture

Additional Lecture to supplement the in class lecture and the book lecture

5-0 HW Exponent Review

5-0A Radical Expressions

5-0B Radical Expressions with Fractional Exponents

5-1 HW Exponential Equations

5-1 Exponential Equations

5-1 Lecture Exponential Equations

5-2 HW Graphs of the Exponential Functions

5-2 Graphs of the Exponential Functions

5-2A Increasing Exponential Graphs Lecture

5-2B Decreasing Exponential Graphs Lecture

5-2C XY intercepts for Exponential Graphs

5-2D General Transformations Lecture

5-3 HW Logarithmic Functions

5-3A Logarithmic Functions Introduction Lecture

5-3C Evaluating Basic Logarithmic Functions Lecture

5-3B Solving Logarithmic Functions Lecture

5-4 HW Graphs of Logarithmic Functions

5-4A Graphing Increasing Log Functions Lecture

5-4B Graphing Decreasing Log Functions Lecture

5-5 HW Properties Of Logarithms

5-5A Properties Of Logarithms Simplify Lecture

5-5C The Domain Of Log Functions Lecture

5-5B Properties Of Logarithms Expand Lecture optional

5-5D Inverses of Exponential and Logarithmic Equations

5-6 HW Solving Logarithmic Equations

5-6A Solving Logarithmic Equations Lecture One Side

5-6B Solving Logarithmic Equations Lecture Both Sides

5-7 HW Calculator Applications

5-7 Calculator Applications Lecture

Calculator help is at TI.com or education.ti.com

Chapter 5 Homework Answers

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Chapter 6 and 7 Trigonometry

Homework:

Sullivan Book Lecture

Additional Lecture to supplement the in class lecture and the book lecture

6-1A HW Degrees and Radians

6-1B HW Arc Length and Area of Sectors (Calc)

Section 6-1 in the Book

6-2 HW Trig Exact Values

Section 6-2 in the Book

Sullivan Homework (Optional)

Section 6-2 Problems 11 to 82 ALL

6-2A: Exact Trig Values of selected Trig. Functions

6-3 HW Basic Trig Equations

Section 6-3 in the Book

Sullivan Homework (Optional)

Problems 11 to 82 ALL

6-3A: Basic Trig Equations limited to 0 to 2 pi

6-3B: Basic Trig Equations for all Real Numbers

6-4A HW Trig Equations

Sections 7-7 and 7-8 in the Book

Sullivan Homework (Optional)

Section 7-7 Problems 7 to 35 ALL

Section 7-8 Problems 1 to 10 ALL

6-4B HW: Angular and Linear Speed

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Section 6-1 in the Book

Sullivan Homework (Optional)

Section 6-1 Problems 97,98,99,103,104,105,106

6-4B Angular and Linear Speed

6-5 HW Trig Graphs

Section 6-4 6-5 and 6-6 in the Book

Sullivan Homework (Optional)

Section 6-4 Problems 20 to 80 odd

Section 6-5 Problems 17 to 39 odd

Section 6-6 Problems 19 to 26 All

Draw each graph and label all critical roots asymptotes and maximum or minimum values.

 

6-5A The 6 Basic Trig Graphs

6-5B Developing the 6 Basic Trig Graphs (Full lecture) optional

6-5C The 6 basic transformations of Trig Graphs

6-5D The Period or Frequency of Trig Graphs

6-6 Frequency Equations

6-6 Frequency Equations Lecture in Class

6-7A HW Inverse Trig

Section 7-1 and 7-2 in the Book

Sullivan Homework

Section 7-1 Problems 13 to 24 ALL, 37 -52 ALL

Section 7-2 Problems 9 to 35 odd

Lecture 6-7A: Inverse Trig Functions (introduction)

Lecture 6-7B: Inverse Trig Function worked out examples

6-7B: HW Inverse Trig Calculator

This section will not be used this semester.

(Optional)

HW:7-3 Trig Identities

HW:7-5 Trig Identities

Be sure to show all the required steps. The extra pages that contain the hints to solve the identities to not contain all the steps required . Steps are skipped in many cases.

Sullivan Homework

Section 7-3 Problems 19 to 63 odd

Section 7-4 Problems 45 to 53 odd

Section 7-5 Problems 47 to 55 odd

Lecture 7-3: Trig Identities

Lecture 7-4: Sum and Difference Identities

Lecture 7-5 Double and Half Angle Identities

Trig Identities List

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Trig HW Answers

Additional Resources

Additional Resources

The answers listed above are from former students and may contain typos. If this is an issue chose to do the Sullivan HW and use the Sullivan solution manual available in the FLC book store or in many online locations.

Sullivan Interact Math link at http://www.interactmath.com

Sullivan Lecture CDs available in several online locations

Sullivan Lectures on the u-tube channel

purple math .com

graphing calculator websites

Chapter 9 Polar Coordinates and Vectors

Homework:

Sullivan Book Lecture

Additional Lecture to supplement the in class lecture and the book lecture

9-2 HW Polar Graphs

Section 9-2 in the Book

Lecture 9-2A Polar Graphs

Polar Graph Paper 15 degrees

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Chapter 10 Conics

Homework:

Sullivan Book Lecture

Additional Lecture to supplement the in class lecture and the book lecture

10-2 HW Parabolas

Section 10-2 in the Book

10-3A HW Circles

10-3B HW Ellipses

Section 10-3 in the Book

10-3B Ellipse Notes

10-4 HW Hyperbolas

Section 10-4 in the Book

10-4 Hyperbola Notes

10-5 HW Formulas

Section 10-5 in the Book

Chapter 10 Answers

Chapter 11 Systems

Homework:

Additional Lecture to supplement the in class lecture

Seullivan Book Lecture

11-1 Linear Systems in 2 Variables

11-1A Lecture Systems of 2 Variables solving by Graphing

11-1B Lecture Systems of 2 Variables solving by Substation

11-1C Lecture Systems of 2 Variables solving by Elimination

11-1D Systems of 2 Variables solving Word Problems

Section 11-1

11-2 Graphing Linear Systems in 2 Variables

11-2A Lecture Graphing Inequalities

11-2B Lecture Solving a system of 2 Variables by Graphing

11-2B Lecture Solving a system of 2 Variables by Graphing

 

Section 11-7

11-3 Systems in 3 Variables

11-3 Lecture Solving Systems of 3 Variables

Section 11-1

11 - 6 Nonlinear Systems

11-6 Lecture Nonlinear systems Lecture

Section 11-6

11 - 7 Systems of Nonlinear Inequalities

Section 11-7 in the Book

Section 11-7 in the Book

Chapter 11 Answers

Chapter 10 and 11 Review

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Chapter 12 Sequences

Homework:

Additional Lecture to supplement the in class lecture

Sullivan Book Lecture

HW 12-1A: Sequences

HW 12-1B: Series

12-1A: Lecture Sequences

12-1B: Lecture Series

12-1C: Lecture Partial Sums. Series and Sequences

 

Section 12-1 problems 15 to 79 odd

HW 12-2: Arithmetic Sequences and Series

12-2A: Lecture Arithmetic Sequences

12-2B: Lecture Arithmetic Series

Section 12-2 problems 3 to 49 odd

HW 12-3: Geometric Sequences

12-3A: Lecture Geometric Sequences

12-3B: Lecture Geometric Sequences

Section 12-3 problems 9 to 79 odd

HW 12-4: Proof by Induction

12-4A: Lecture Proof by Induction introduction

12-4B: Lecture Proof by Induction examples

Section 12-4 problems 1 to 10 ALL

HW 12-5: Lecture Binomial Expansion

12-5: Lecture Binomial Expansion

Section 12-5 problems 5 to 31 odd

C-12 Answers

C-12 Formula Notes

C-12 Sequences List

Helpful links.

purple math.com

The sums of the first n odd counting numbers

The sums of the cubles of the first n cubes

Schumns Formulas

1= 3/4 + 3/16 + 3/64 Tower

1/3 = 1/4 + 1/16 + 64 Squares

1= 3/4 + 3/16 + 3/64 Tower Embeded

1/2 = 1/3 + 1/9 + 1/ 27 Sprial

1= 3/4 + 3/16 + 3/64 Squares

1 = 1/2 +1/4 + 1/8 + 1/16 Demo

Chapter 4 and 14 Functions and Limits

Homework:

Additional Lecture to supplement the in class lecture

Sullivan Book Lecture

4-1: HW Zeros of a Polynomial HW

4-1A: Lecture Zeros of a Polynomial Section 4-5

4-1B: Lecture Synthetic Division

Section 4-5

4-2: HW Polynomial Inequalities

4-2: Lecture Polynomial Inequalities

Section 4-4

4-3: HW Graphing Power Functions

4-3A: Lecture Limits of Power Functions

4-3B: Lecture Roots and Graphs of Power Functions

Section 4-1

4-4A: HW Piece Wise Functions

4-5A: Lecture Piece Wise Functions

Section 14-3

4-4B: HW Continuity

4-4B: Lecture Continuity

4-5A: HW Limits x--> infinity Rational Functions

4-5A1: Lecture Rational Functions Introduction

4-5A2: Lecture Limits as x ---> Infinity for Rational Functions

Section 14-2

4-5B HW Graphing Rational Functions with vertical asymptotes

4-5B: Lecture Graphing Rational Functions with vertical asymptotes

You may want to look online for more problems

4-5C: HW Rational Functions with vertical asymptotes and holes

4-5C1: Lecture Rational Functions with Holes Intro

4-5C2: Lecture Rational Functions with Holes Limits

4-5C3 Lecture Graphing Rational Functions with Holes

purple math.com

Sullivan Interact Math link at http://www.interactmath.com

Sullivan Lecture CDs available in several online location

4-6A HW Limits Involving Vertical Asymptotes

4-6A Lecture Limits Involving Vertical Asymptotes

4-6B HW Evaluating Limits

4-6B Lecture Evaluating Limits

Functions and Limits Answers

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