Course Description: The study of equations and inequalities involving radical, quadratic or absolute value terms. Also includes polynomial, rational, exponential and logarithmic functions, their graphs and applications.
Course Outcomes:
Outcome 1: Students will demonstrate the ability to algebraically analyze functions.
Outcome 2: Students will demonstrate the ability to graphically analyze functions.
Outcome 3: Students will demonstrate the ability to model real-life scenarios using functions.
Course Objectives:
1. Analyze graphs and functions.
2. Apply concepts of functions to real-life applications.
3. Evaluate and solve problems using the following functions: Quadratic, Polynomial, Exponential, Logarithmic, and Rational.
4. Solve a system of linear equations.
Class Notes
Spring 2021
3/29 - 1.1 Distance and Mid-Point Formulas; 1.4 Lines
3/30 - 1.2 Intercepts, Symmetry, Graphing Key Ideas
4/5 - 2.1 Functions (Part 2); 2.2 The Graph of a Function
4/6 - 2.3 Properties of Functions
4/7 - 2.4 Piece-wise Functions
4/8 - 2.5 Transformations (Part 1)
4/12 - 2.5 Transformations (Part 1); 2.6 Mathematical Models: Building Functions
4/13 - 3.1 Linear Functions; 3.3 Quadratic Functions (Part 1)
4/14 - 3.3 Quadratic Functions (Part 2); 3.4 Building Quadratic Models (Part 1)
4/15 - Exam 1 Study Guide - odd problems worked out
4/20 - 3.4 Building Quadratic Models (Part 2); 4.1 Polynomial Function (Part 1)
4/21 - 4.1 Polynomial Functions (Part 2); 4.4 Properties of Rational Functions (Part 1)
4/22 - 4.4 Properties of Rational Functions (Part 2)
4/26 - 4.5 The Graph of a Rational Function; 3.5/4.6 Quadratic/Polynomial Inequalities
4/27 - 5.1 Composite Functions; 5.2 One-to-one Functions; Inverse Function (Part 1)
4/28 - 5.2 One-to-one Functions; Inverse Functions (Part 2)
4/29 - Exam 2 Study Guide - problems worked out
5/4 - 5.3 Exponential Functions
5/5 - 5.4 Logarithmic Functions
5/6 - 5.5 Properties of Logs; 5.6 Log and Exp Equations
5/11 - 5.8 Exp Growth/Decay; Logistic Growth
5/12 - Final Exam Practice Exam
Spring 2019
1/29/19 - 1.1 The Distance and Mid-Point Formulas; 1.4 Lines
1/31/19 - 1.2 Intercepts, Symmetry, Graphing Key Ideas
2/7/19 - 2.1 Functions (Part 1)
2/12/19 - 2.1 Functions (Part 2); 2.2 The Graph of a Function (Part 1)
2/14/19 - 2.2 The Graph of a Function (Part 2); 2.3 Properties of Functions (Part 1)
2/19/19 - 2.3 Properties of Functions (Part 2); 2.4 Library of Functions (Part 1)
2/21/19 - 2.4 Piece-wise functions (Part 2); 2.5 Transformations (Part 1)
2/26/19 - 2.5 Transformations (Part 2); 2.6 Mathematical Models: Building Functions
3/7/19 - 3.1 Linear Functions, Properties and Models (Part 1)
3/12/19 - 3.1 Linear Functions... (Part 2); 3.3 Quadratic Functions (Part 1)
3/14/19 - 3.3 Quadratic Functions (Part 2); 3.4 Building Quadratic Models (Part 1)
3/26/19 - 3.4 Building Quadratic Models (Part 2); 4.1 Polynomial Functions
3/28/19 - 4.4 Properties of Rational Functions
4/2/19 - 4.5 The Graph of a Rational Function
4/4/19 - 3.5 Inequalities Involving Quadratics; 4.6 Polynomial and Rational Inequalities
4/16/19 - 5.1 Composite Functions; 5.2 One-to-one Functions; Inverse Functions (Pt 1)
4/18/19 - 5.2 Inverse Functions (Pt 2); 5.3 Exponential Functions
4/23/19 - 5.4 Logarithmic Functions; 5.5 Properties of Logarithms (Pt 1)
4/25/19 - 5.5 Prop. of Logs (Pt 2); 5.6 Log and Exp Equations; 5.7 Financial Models (Pt 1)
4/30/19 - 5.7 Financial Models (Pt 2); 5.8 Exponential Growth and Decay (Part 1)
Fall 2018
8/28/18 - 1.1 The Distance an Mid-Point Formulas; 1.4 Lines
8/30/18 - 1.2 Intercepts, Symmetry, Graphing Key Ideas
9/6/18 - 2.1 Functions (Part 1)
9/11/18 - 2.1 Function (Part 2); 2.2 The Graph of a Function (Part 1)
9/13/18 - 2.2 The Graph of a Function (Part 2); 2.3 Properties of Functions (Part 1)
9/18/18 - 2.3 Properties of Functions (Part 2)
9/20/18 - 2.4 Library of Functions (Part 1)
9/25/18 - 2.4 Library of Functions (Part 2); 2.5 Transformation (Part 1)
9/27/18 - 2.5 Transformations (Part 2); 2.6 Mathematical Models: Building Functions
10/9/18 - 3.1 Linear Functions, Properties and Models (Part 1)
10/11/18 - 3.3 Quadratic Functions
10/16/18 - 3.4 Building Quadratic Models (Part 1); 4.1 Polynomial Functions (Part 1)
10/18/18 - 4.1 Polynomial Functions (Part 2); 4.4 Properties of Rational Functions (Part 1)
10/23/18 - 4.4 Properties of Rational Functions (Pt 2); 4.5 Graphs of Rational Functions (Pt 1)
10/25/18 - 4.5 Graphs of Rational Functions (Pt 2); 3.5 Inequalities Involving Quadratics;
4.6 Polynomial and Rational Inequalities
11/6/18 - 5.1 Composite Functions; 5.2 One-to-One Functions; Inverse Functions (Part 1)
11/8/18 - 5.2 One-to-One Functions; Inverse Function (Part 2); 5.3 Exponential Functions
11/13/18 - 5.4 Logarithmic Functions; 5.5 Properties of Logarithms (Part 1)
11/15/18 - 5.5 Properties of Logarithms (Part 2); 5.6 Logarithmic and Exponential Equations
11/20/18 - 5.7 Financial Models
11/27/18 - 5.8 Exponential Growth and Decay (Part 1)
11/30/18 - 5.8 Logistic Growth
Solving Equations (Not covered in 126 - review from 96)
Rational Expression, Interval Notation, Solving Inequalities (Not covered in 126 - review from 96)