MATH-1414 College Algebra for Precalculus
Vera Ioudina
Credit Spring 2024
Section(s)
MATH-1414-041 (76763)
LEC TuTh 10:30am - 12:15pm HYS HYS1 01218.00
Course Requirements
Prerequisites: MATD 0414, MATD 0424, MATD 0444, NCBM 0214, NCBM 0224, or NCBM 0244; with a grade of C or higher. Or a satisfactory score on the TSI Mathematics Assessment or completion of TSI requirements in mathematics. Students who are TSI Complete in Math based on completion of NCBM 0185, NCBM 0142, MATD 0385, MATD 0342 or MATD 0485 are NOT eligible for College Algebra for Precalculus.
Course Subjects
|
Week |
Date |
Chapters |
Topics |
|
1 |
01.16 |
2.3 |
Introduction. Functions and Relations |
|
|
01.18 |
1.1, 2.4 |
Review: Linear Equations. Linear Functions |
|
2 |
01.23 |
1.2, 2.5 |
Review: Linear Equations Applications. Equations to lines and applications |
|
|
01.25 |
1.6, 1.7 |
Absolute value Equations. Linear, Compound and Absolute Value Inequalities |
|
3 |
01.30 |
2.6 |
Library of Basic Functions and Transformations |
|
|
02.01 |
2.7 |
Analyzing Graphs of Functions. Piecewise Defined Functions |
|
4 |
02.06 |
2.8 |
Algebra of Functions and Function Composition |
|
|
02.08 |
|
Test 1 Covers 2.3-2.8, 1.1, 1.2, 1.7 and Absolute Value Equations |
|
5 |
02.13 |
1.3 |
Complex Numbers |
|
|
02.15 |
1.4, 3.1 |
Quadratic Equations and Quadratic Functions |
|
6 |
02.20 |
3.2 |
Introduction to Polynomial Functions |
|
|
02.22 |
3.3 |
Division of Polynomials |
|
7 |
02.27 |
3.4 |
Zeros of Polynomials |
|
|
02.29 |
3.5 |
Rational Functions |
|
8 |
03.05 |
1.6 |
Solving Equations: Polynomial |
|
|
03.07 |
|
Solving Equations: Rational and Radical |
|
|
03.11 - 03.15 |
Spring Break No classes; college closed |
|
|
9 |
03.19 |
3.6 |
Polynomial and Rational Inequalities |
|
|
03.21 |
|
Test 2 Covers 1.3, 1.4, 1.6, 3.1-3.6 |
|
10 |
03.26 |
4.1, 4.2 |
Inverse Functions |
|
|
03.28 |
4.3 |
Exponential Functions. Logarithmic Functions |
|
11 |
04.02 |
4.4 |
Properties of Logarithms |
|
|
04.04 |
4.5 |
Exponential and Logarithmic Equations |
|
12 |
04.09 |
9.1, 9.2 |
Systems of Linear Equations in 2 and 3 Variables |
|
|
04.11 |
9.4 |
Systems of Nonlinear Equations in 2 Variables |
|
13 |
04.16 |
10.1 |
Solving Systems of Linear Equations using Matrices |
|
|
04.18 |
|
Test 3 Covers 4.1-4.5, 9.1, 9.2, 9.4, 10.1 |
|
14 |
04.23 |
10.3 |
Operations on Matrices |
|
|
04.25 |
10.5 |
Determinants, Cramer’s Rule |
|
15 |
04.30 |
12.1, 12.2 |
Introduction to Sequences and Series. Arithmetic Sequences and Series |
|
|
05.02 |
12.3 |
Geometric Sequences and Series |
|
16 |
05.07 |
|
Review |
|
|
05.09 |
|
Final Exam. May 9, 10:30 am |
Student Learning Outcomes/Learning Objectives
Upon successful completion of the course, a student should be able to:
- Demonstrate understanding and knowledge of properties of functions, which include domain and range, operations, compositions, and inverses.
- Recognize and apply polynomial, rational, exponential, and logarithmic functions and solve related equations.
- Apply graphical, symbolic and numeric techniques.
- Evaluate all roots of higher degree polynomial and rational functions.
- Recognize, solve and apply systems of linear equations using matrices.
- Perform algebraic operations on matrices, evaluate the determinant and apply Cramer’s Rule
- Recognize and evaluate arithmetic/geometric sequences and series.
Office Hours
T Th 12:15 PM - 1:00 PM HYS1 1204.06
NOTE To schedule a conference outside of office hours: please email me.T Th 12:15 PM - 1:00 PM HYS1 1204.06
NOTE To schedule a conference outside of office hours: please email me or ask after class.Published: 01/15/2024 00:35:51