MAC1140, Pre Calculus Algebra

Schedule

Date      Sections and Topics
01-06     Syllabus & Introduction
2.5 Transformation of Functions. Practice 01.
01-07     3.2 Polynomial Functions and Their Graphs. Practice 02.
01-11     3.3 Dividing Polynomials; Remainder and Factor Theorems. Practice 03.
01-12     3.4 Zeros of Polynomial Functions. Practice 04.
01-13     3.5 Rational Functions and Their Graphs. Practice 05.
01-14     3.6 Polynomial and Rational Inequalities. Practice 06.
01-19     Review 1 (mult choice qns) | Review 1 handwritten Ans.
01-20     Test 1
01-21     4.1 Exponential Functions & 4.2 Logarithmic Functions. Practice 07.
01-25     4.3 Properties of Logarithms & 4.4 Exp and Log equations. Practice 08.
01-26     4.5 Exponential Growth and Decay. Practice 09.
01-27     Review 2. | Review 2 handwritten Ans.
01-28     Test 2
02-01     8.2 Systems of Linear Equations in Three Variables. Practice 10.
02-02     9.1 Matrix Solutions to Linear Systems and Their Applications. Practice 11.
MIT Lecture Prof Strang: Elimination with Matrices
02-03     9.2 Inconsistent and Dependent Systems and Their Applications. Practice 12.
02-04     9.3 Matrix Operations and Their Applications. Practice 13.
02-08     Review 3 | Review 3 handwritten Ans.
02-09     Test 3
02-10     10.1 The Ellipse. Practice 14.
02-11     10.2 The Hyperbola & 10.3 The Parabola. Practice 15.
02-15     Review 4 | Review 4 handwritten answers.
02-16     Test 4
02-17     11.1 Sequences and Summation Notation &
11.2 Arithmetic Sequences. Practice 16.
02-18     11.3 Geometric Sequences and Series. Practice 17.
02-22     11.4 Mathematical Induction & 11.5 The Binomial Theorem. Practice 18.
02-23     Review 5 | Review 5 handwritten answers.
02-24    Test 5
******* Final Review | Final Review Handwritten Ans ******
02-25     Final Exam

https://courses.lumenlearning.com

• Recognize characteristics of graphs of polynomial functions
• Use factoring to find zeros of polynomial functions
• Zeros, End Behavior, and Turning Points
• Understand the relationship between degree and turning points
• Determine end behavior

• Use long division to divide polynomials
• Use synthetic division to divide polynomials

• Use the Linear Factorization Theorem to find polynomials with given zeros
• Use Descartes’ Rule of Signs

• Identify vertical and horizontal asymptotes
• Identify horizontal asymptotes
• Graph rational functions

• Introduction to Systems of Linear Equations: Three Variables
• Solving Systems of Three Equations in Three Variables
• Inconsistent and Dependent Systems in Three Variables

Saylor Academy
(online text)
Table of Content

• Matrices and Gaussian Elimination
  
• Ellipses
• Hyperbolas

• Introduction to Sequences and Series
• Arithmetic Sequences and Series
• Geometric Sequences and Series
• Binomial Theorem