Handouts, Notes, Additional Problems, Solution Sheets

WEEK 1


CHAPTER 1


What you should know in general:

MATH Study Skills

PEMDAS — Nix the Tricks

Order of Operations

Guidelines for Homework and Tests

Notation — Equal Sign, Parentheses, Fraction Bars


ADDITIONAL MATERIAL

Intro to sets (online only)


CHAPTER 10


Linear Systems Substitution

Linear Systems Substitution — Solution (online only)


Linear Systems Elimination

Linear Systems Elimination — Solution (online only)


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WEEK 2


CHAPTER 10 continued


Solving Systems of Linear Equations with Matrices

More Practice problems — Systems of linear equations


Practice Problems from Friday, Sept. 9 with solutions



ADDITIONAL MATERIAL

online only

(Reduced) row-echelon form

Gauss-Jordan elimination method

Solve systems of linear equations with a graphing calculator


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WEEK 3


CHAPTER 2


NOTES

Chapter 2.2.1 Notes

Chapter 2.2.2 Notes

Chapter 2.3 Notes

Why we never divide by zero



IMPORTANT:

Test Taking Errors (6 Types of Errors)

Math Study Skills


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WEEK 4


CHAPTER 2 continued


Chapter 2.4 Notes

Chapter 2.5 will be taught WEEK 6

Chapter 2.6 Even and odd Functions

Chapter 2.7 Combining Functions

and Composition of Functions

Chapter 2.7 — Solutions

Chapter 2.8 Inverse Functions

Chapter 2.8 — Solutions


ADDITIONAL MATERIAL

online only

Inverse functions

Composite functions and their domain

Descartes - 17th Century Mathematics

Average rate of change — word problems


Study Guides for Test 1

1) Subjects

2) Practice Problems

3) Practice Problems — Solutions

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WEEK 5


Review

Test #1 (Wednesday, September 28)

Discussion of test problems


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WEEK 6


Practice

Chapter 2.5 Linear Functions

Linear Functions — Solutions


Preparing for Chapter 3 — Factoring — Notes

Factoring Part 1

Factoring Part 2

Factoring Part 3

Factoring Part 4

Factoring Part 5


Solving quadratic equations — Notes

Solving quadratic equations by Factoring


ADDITIONAL MATERIAL

online only

History of Complex Numbers


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WEEK 7


CHAPTER 3


3.1 Quadratic functions


Practice Problems — Parabolas

Parabolas — Solutions


ADDITIONAL MATERIAL

online only


Quadratic Functions — Applications

Applications — Solutions



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WEEK 8


CHAPTER 3 continued


Chapter 3.4 Notes

Chapter 3.5 Notes


Rational functions


Prepare for exam #2

Study guide

Practice Test


Solutions practice test — Please check for errors, just in case :-)


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WEEK 9


Midterm Week


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WEEK 10


Check Lecture Notes: Chapter 4. 1 to 4.4


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WEEK 11


Check Lecture Notes: Chapter 4.5 to 4.7


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WEEK 12


Check Lecture Notes: Chapter 12.1 to 12.3


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WEEK 13


Check Lecture Notes for Conic Sections.


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WEEK 14


Study Guide for Test 3


Practice for Test 3 — check for typos :-)

Solutions — no guarantee :-)


More important than the practice test is it to understand the concepts behind the problems!


Courtesy of one of your classmates to practice for test 3!

Please check it out :-)

Example Practice

Answer keys


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WEEK 15


Study Guide for Final Exam


The following is a courtesy of one of your classmates and highly recommended to practice for the Final Exam:


Cumulative Practice for Final Exam

Cumulative Practice — Solutions










































































HANDOUTS — SPRING 2020 and earlier



Complex numbers

Lecture Notes (during Pandemic)


PART 1


Intro Test — Test Yourself


NOTES

Chapter 1.5 Notes

Linear Equations in 2 Variables

Linear equations in 2 Variables — Solutions


°°°

Linear Systems Group Work

Group Work — Solutions


°°°


CHAPTER 2


NOTES

Chapter 2.2.1 Notes

Chapter 2.2.2 Notes

Chapter 2.3 Notes

Chapter 2.4 Notes


Descartes - 17th Century Mathematics

Average rate of change — word problems

Why we never divide by zero


Chapter 2.6 Even and odd Functions

Chapter 2.7 Combining Functions

and Composition of Functions

Chapter 2.7 — Solutions

°°°***

Test correction — Directions


°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°


PART 2


CHAPTER 2 continued


Linear Functions — Applications

Linear Functions — Applications — Solutions


Preparing for Chapter 3 — Factoring — Notes

Factoring Part 1

Factoring Part 2

Factoring Part 3

Factoring Part 4

Factoring Part 5


Solving quadratic equations — Notes

Solving quadratic equations by Factoring


CHAPTER 3


History of Complex Numbers

Practice Problems — Parabolas

Quadratic Functions — Applications

Zeros of Polynomial Functions


NOTES

Chapter 1.6 Notes — Complex numbers



Test Taking Errors


Prepare for Exam #2:

Study Guide for Test 2

Practice Test — page 1

Practice Test — page 2


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PART 3


CHAPTER 4


Exponential functions bx

Exponential functions abx

Summary exp and log functions

Exponential functions — compound interest

Compound Interest — word problems

Exponential growth — introduction

Plutonium — information

Applications — growth and decay

Growth and decay — solutions

Exponential word problems

Exponential word problems — solutions

Logarithmic word problems

Logarithmic word problems — solutions


CHAPTER 12


NOTES

Chapter 12 Notes

Arithmetic sequences and series applications


CHAPTER 11


NOTES

Chapter 11 Notes

Conic Sections — Homework

Conic Sections — Homework Solutions


FINAL EXAM — Study Guide

FINAL EXAM — Practice Test






HANDOUTS from previous classes:

Online only


Practice Problems Linear Equations

Linear equations — Solutions

Practice Problems Linear Equations 2

Linear equations 2 — Solutions

Practice Problems Non-Linear Equations

Non-linear equations — Solutions


Gauss practice and Solution 1

Gauss practice and Solution 2

Gauss practice and Solution 3


For more practice:

Gauss elimination

Practice problems — Systems of linear equations


Functions — Operations incl. Solutions

Composite Functions — Application

Composite Functions — Appl. Solution


Inverse functions Intro


Linear Functions


Zeros of cubic functions — Worksheet

Zeros of cubic functions — Worksheet Solutions


Rational functions


Exponential functions applications

Exponential applications — solutions


Logarithmic word problems — solutions


Arithmetic Sequences and Series — Applications


Conics — general equation

Conic Sections Practice Problems

Conic Sections — Practice Problems — solutions


For extra practice:


Ellipses 1

Ellipses 2

Solutions for Ellipses 1

Solutions for Ellipses 2

Circles 1

Circles 2

Circles 3

Solutions for Circles

Hyperbolas Intro

Hyperbolas 1

Hyperbolas 2

Hyperbolas 3

Solutions for Hyperbolas Part 1

Solutions for Hyperbolas Part 2

Classify Conic Sections — including Solutions


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