MATH-1414 College Algebra for Precalculus

Ahmad Kamalvand

Credit Spring 2023

Section(s)

MATH-1414-003 (57312)
LEC TuTh 3:00pm - 4:45pm RVS RVSG 9137

Course Requirements

Grades

Homework                              15%

3 Exams (each 20%)               60%

 Final Exam (Comp.)              25%

LETTER GRADES:

A         90-100

B         80-89

C         70-79

D         60-69

F          Below 60

Readings

Textbook: College Algebra & Trigonometry, 1st Edition by Miller & Gerken. McGraw-Hill

ISBN: 9780078035623  

Course Subjects

Week

Sections

Material

1

Intro, 2.3, 2.4 (1.1 Review)

Functions; Linear Functions 

2

2.5 (1.2 Review), 1.7 (Plus abs value equations 1.6)

Applications of Linear Equations; Absolute Value Equations; Inequalities

3

2.6, 2.7

Transformations of Graphs; Analyzing Graphs of Functions and Piecewise-Defined Functions 

4

2.8, Test 1 (Abs Val Eq, 1.7, 2.3-2.8)

Algebra of Functions and Function Composition 

5

1.3, 1.4, 3.1

Complex Numbers; Quadratic Equations and Functions 

6

3.2, 3.3

Introduction to Polynomial Functions; Division of Polynomials  

7

3.4, 3.5

Zeros of Polynomials; Rational Functions

8

1.6

Solving Equations: Polynomial, Rational, and Radical

9

3.6, Test 2 (1.3, 1.4, 1.6, 3.1-3.6)

Polynomial and Rational Inequalities

10

4.1, 4.2, 4.3

Inverse Functions; Exponential Functions; Logarithmic Functions 

11

4.4, 4.5, 9.1

Properties of Logarithms; Exponential and Logarithmic Equations; Systems of Linear Equations in 2 Variables 

12

9.2, 9.4

Systems of Linear Equations in 3 Variables; Systems of Nonlinear Equations in Two Variables 

13

Test 3 (4.1-4.5, 9.1, 9.2, 9.4), 10.1

Solving Systems of Linear Equations Using Matrices 

14

10.3, 10.5

Operations on Matrices; Determinants and Cramer’s Rule  

15

12.1, 12.2, 12.3

Sequences and Series; Arithmetic Sequences & Series; Geometric Sequences & Series 

16

Review, Comprehensive Final

 

Student Learning Outcomes/Learning Objectives

Upon successful completion of the course, a student should be able to:

  1. Demonstrate understanding and knowledge of properties of functions, which include domain and range, operations, compositions, and inverses.
  2. Recognize and apply polynomial, rational, exponential, and logarithmic functions and solve related equations.
  3. Apply graphical, symbolic and numeric techniques.
  4. Evaluate all roots of higher degree polynomial and rational functions.
  5. Recognize, solve and apply systems of linear equations using matrices.
  6. Perform algebraic operations on matrices, evaluate the determinant and apply Cramer’s Rule
  7. Recognize and evaluate arithmetic/geometric sequences and series.

Office Hours

Office Hours

Published: 01/10/2023 17:43:09