Math 163 (College Algebra)
Summer 2016 (6:00 - 7:55) (Room: E-BESS 316)
This course explores the nature and scope of college mathematics through the study of functions. Topics include the study of polynomial, rational, radical, piece-wise defined, and absolute value functions and their graphs and applications as well as modeling with these functions. Additional topics include complex numbers, the binomial theorem, inverse functions, operations with functions, and exponential and logarithmic functions and their graphs and applications.
Note: 3 credits awarded for MATH 163 for a CLEP Precalculus Exam score of 50 or higher. NOTE: Course offered every fall, spring and may be offered during additional sessions.
Prerequisites: ENGL 052 or ESOL 052 and RDNG 052 or ESOL 054; or ACLT 052; and Algebra I and II in high school and a satisfactory score on the placement exam; or MATH 083.
SYLLABUS
INTERACTIVE TEXTBOOK QUESTIONS (Blitzer College Algebra 5e)
Summer 2016 (6:00 - 7:55) (Room: E-BESS 316)
This course explores the nature and scope of college mathematics through the study of functions. Topics include the study of polynomial, rational, radical, piece-wise defined, and absolute value functions and their graphs and applications as well as modeling with these functions. Additional topics include complex numbers, the binomial theorem, inverse functions, operations with functions, and exponential and logarithmic functions and their graphs and applications.
Note: 3 credits awarded for MATH 163 for a CLEP Precalculus Exam score of 50 or higher. NOTE: Course offered every fall, spring and may be offered during additional sessions.
Prerequisites: ENGL 052 or ESOL 052 and RDNG 052 or ESOL 054; or ACLT 052; and Algebra I and II in high school and a satisfactory score on the placement exam; or MATH 083.
SYLLABUS
INTERACTIVE TEXTBOOK QUESTIONS (Blitzer College Algebra 5e)
Lessons and Worksheets
Day 1: Solving Absolute Value Equations and Inequalities (7/18/16)
Practice Worksheets: Absolute Value Inequalities, Absolute Value Equations
Videos: Solving Absolute Value Equations, Solving Absolute Value Inequalities
Day 2: Introduction to Functions & Review of Lines (7/19/16)
Practice Worksheets: Evaluate Functions, Function vs Relation, Functions #2
Practice Worksheets: Finding Slope , Equations of Lines
Equations of Parallel and Perpendicular Lines
Videos: Equations of Lines with 2 Points, Parallel and Perpendicular Lines
Day 3: Quadratic Functions and Finding the Vertex (7/20/16)
Quadratic Functions Worksheet #1 and Worksheet #2
Vertex Form Worksheet with Interactive Applet
Vertex Form Worksheet #2
Review Materials: Factoring Trinomials, Worksheet #2, Worksheet #3
Day 4: Complete the Square Review, Writing Quadratic Equations in Vertex Form (7/21/16)
STANDARD FORM TO VERTEX FORM PRACTICE
Linear Regression (Age Predictions)
RESEARCH PAPER (Due 8/18) QUIZ #1
Day 5: Introduction to Polynomial Functions and Their Graphs (7/25/16)
Practice Worksheet: Linear Regression Equation Worksheet
Practice Worksheet: End Behavior Practice Worksheet
PRACTICE TEST #1
Day 6: Review For Exam #1 (7/26/16)
Transformations of Graphs Worksheet
VIDEO FOR LINEAR REGRESSION
VIDEO FOR TI-82
Day 7: EXAM #1 (SOLUTIONS) (7/27/16)
Day 8: Long and Synthetic Division of Polynomials (7/28/16)
Video for Synthetic Division & Video for Long Division
Practice Worksheets for Polynomial Division
Long Division Worksheet with NOTES
Extra Long Division Worksheet
Day 9: Finding Zeros of a Polynomial (Fundamental Theorem of Algebra) (8/1/16)
Practice Worksheet (Finding Zeros and Factoring)
Day 10: Descartes Rule of Sign Changes, Rational Zero Theorem (8/2/16)
Asymptotes and Graphs of Polynomials
Quiz #2 (Due Thursday 8/4)
Quiz #2 SOLUTIONS
Day 11: Operations with Complex Numbers (8/3/16)
Operations with Complex Numbers
Practice Worksheets: Complex Numbers, Descartes Rule of Sign Change
Graphing and Evaluating Piecewise Functions
Day 12: Review Practice Exam #2 (SOLUTIONS) (8/4/16)
Day 13: EXAM #2 (SOLUTIONS) (8/8/16)
Extra Credit (Due 8/11)
Day 14 : Binomial Theorem (8/9/16)
(Videos: #1, #2, #3)
Practice Worksheet: Binomial Theorem
Day 15: Operations with Functions & Inverse Functions and One-to-One Functions (8/10/16)
Practice Worksheets: Function Operations, Composition Functions
Practice Worksheets: Inverse Functions #1, Extra Practice Inverse Functions
Inverse and One-to-One Functions
Day 16: Exponentials and Logs (PowerPoint #1 and #2) Solving Logarithmic Equations (8/11/16)
Practice Worksheet, Video on Logs
Practice Worksheet: Solving Logarithmic Equations
QUIZ #3 (Due Monday 8/15)
Quiz #3 Solutions
Day 17: PRACTICE EXAM #3 (SOLUTIONS) (8/15/16)
Solving Radical Equations (Domain and Range with functions)
Practice Radicals Worksheet #1 & #2
Day 18: Exam #3 (8/16/16)
Extra Credit #3
Day 19: (REVIEW VIDEOS) (Website with Video Reviews) (8/17/16)
(Go over Practice Final) Review for Final Exam (SOLUTIONS)
Day 20: Final Exam (8/18/16)
PROJECT DUE
Day 1: Solving Absolute Value Equations and Inequalities (7/18/16)
Practice Worksheets: Absolute Value Inequalities, Absolute Value Equations
Videos: Solving Absolute Value Equations, Solving Absolute Value Inequalities
Day 2: Introduction to Functions & Review of Lines (7/19/16)
Practice Worksheets: Evaluate Functions, Function vs Relation, Functions #2
Practice Worksheets: Finding Slope , Equations of Lines
Equations of Parallel and Perpendicular Lines
Videos: Equations of Lines with 2 Points, Parallel and Perpendicular Lines
Day 3: Quadratic Functions and Finding the Vertex (7/20/16)
Quadratic Functions Worksheet #1 and Worksheet #2
Vertex Form Worksheet with Interactive Applet
Vertex Form Worksheet #2
Review Materials: Factoring Trinomials, Worksheet #2, Worksheet #3
Day 4: Complete the Square Review, Writing Quadratic Equations in Vertex Form (7/21/16)
STANDARD FORM TO VERTEX FORM PRACTICE
Linear Regression (Age Predictions)
RESEARCH PAPER (Due 8/18) QUIZ #1
Day 5: Introduction to Polynomial Functions and Their Graphs (7/25/16)
Practice Worksheet: Linear Regression Equation Worksheet
Practice Worksheet: End Behavior Practice Worksheet
PRACTICE TEST #1
Day 6: Review For Exam #1 (7/26/16)
Transformations of Graphs Worksheet
VIDEO FOR LINEAR REGRESSION
VIDEO FOR TI-82
Day 7: EXAM #1 (SOLUTIONS) (7/27/16)
Day 8: Long and Synthetic Division of Polynomials (7/28/16)
Video for Synthetic Division & Video for Long Division
Practice Worksheets for Polynomial Division
Long Division Worksheet with NOTES
Extra Long Division Worksheet
Day 9: Finding Zeros of a Polynomial (Fundamental Theorem of Algebra) (8/1/16)
Practice Worksheet (Finding Zeros and Factoring)
Day 10: Descartes Rule of Sign Changes, Rational Zero Theorem (8/2/16)
Asymptotes and Graphs of Polynomials
Quiz #2 (Due Thursday 8/4)
Quiz #2 SOLUTIONS
Day 11: Operations with Complex Numbers (8/3/16)
Operations with Complex Numbers
Practice Worksheets: Complex Numbers, Descartes Rule of Sign Change
Graphing and Evaluating Piecewise Functions
Day 12: Review Practice Exam #2 (SOLUTIONS) (8/4/16)
Day 13: EXAM #2 (SOLUTIONS) (8/8/16)
Extra Credit (Due 8/11)
Day 14 : Binomial Theorem (8/9/16)
(Videos: #1, #2, #3)
Practice Worksheet: Binomial Theorem
Day 15: Operations with Functions & Inverse Functions and One-to-One Functions (8/10/16)
Practice Worksheets: Function Operations, Composition Functions
Practice Worksheets: Inverse Functions #1, Extra Practice Inverse Functions
Inverse and One-to-One Functions
Day 16: Exponentials and Logs (PowerPoint #1 and #2) Solving Logarithmic Equations (8/11/16)
Practice Worksheet, Video on Logs
Practice Worksheet: Solving Logarithmic Equations
QUIZ #3 (Due Monday 8/15)
Quiz #3 Solutions
Day 17: PRACTICE EXAM #3 (SOLUTIONS) (8/15/16)
Solving Radical Equations (Domain and Range with functions)
Practice Radicals Worksheet #1 & #2
Day 18: Exam #3 (8/16/16)
Extra Credit #3
Day 19: (REVIEW VIDEOS) (Website with Video Reviews) (8/17/16)
(Go over Practice Final) Review for Final Exam (SOLUTIONS)
Day 20: Final Exam (8/18/16)
PROJECT DUE
