MATH 3: Precalculus (Fall 2021)

Course Info

  • Title: MATH 3: Precalculus
  • Quarter: Fall 2021
  • Credits: 5
  • Location: Porter Acad 148 (In-Person)
  • Time: 9:20AM-10:25AM MWF

Instructor Info

  •   Jadyn V. Breland (he/him/his)
  •   Office Location: McHenry 4153.
  •   Office hours: 10:00AM - 11:00AM TuTh
                                11:00AM - 12:00PM Mo
  •  
  •   jadynbreland.com


Schedule of Lectures & Additional Resources

    The tentative lecture schedule will be posted below. The numbers in the table indicate the sections of the OpenStax:Precalculcus textbook corresponding to the material presented in the lecture. The table will always be updated after class to reflect the material covered. If I think of any additional digital resources, they will be posted here.
    The following sections were skipped: 1.6, 3.1. You are not responsible for this material on exams! The corresponding Edfinity assignments will be optional - worth extra credit if completed.
Monday Wednesday Friday Additional Resources
9/20-9/24 No Class No Class Syllabus
Section 1.1
Section 1.1:
Determine if a Relation is a Function
Vertical Line Test
Intro to Functions
Vertical Line Test on Graph
One-to-one Functions
Graphs as One-to-one Functions
9/27-10/1 Section 1.2
Section 1.3
Section 1.4
Section 1.4 Cont.
Section 1.5
(skip) Section 1.6
Section 1.2:
Domain and Range of Square Root Functions
Determining Domain and Range
Find Domain and Range
Section 1.3:
Average Rate of Change
Section 1.4:
Composite Functions
Composite Function Notation
Composite Functions Using Graphs
Decompose Functions
Composite Function Values
Section 1.5:
Function Transformations
Section 1.6 (optional):
Graphing Abs Value Functions
Graphing Abs Value Functions 2
Equations of Abs Value Function
Equations of Abs Value Function 2
Solving Abs Value Equations
10/4-10/8 Section 1.5
Section 1.7
Section 1.7
Section 2.1
Section 2.2
Section 2.2
Section 2.3
Section 1.7:
Inverse Functions
Inverse Function Values Using Graph
Restricting the Domain
Additional Practice Questions
Section 2.1
Linear Functions
Section 2.2
Finding Input of Function from the Output and Graph
Graphing Functions using Tables
Section 2.3
Interpreting a Linear Function
10/11-10/15 (Skip) Section 3.1
Section 3.2
Section 3.3
Section 3.3
Section 3.4
Section 3.4
Section 3.5
Section 3.1
Add Complex Numbers
Multiply Complex Numbers
Multiplying Complex Conjugates
Raising i to Powers
Section 3.2
Quadratic General Form
Quadratic Standard Form
Quadratic Review
Characteristics of Quadratics
Section 3.3
Key Info of a Polynomial
End Behaviour
Turning Points/x Intercepts
Least Possible Degree
Section 3.4
Intermediate Value Thm
Section 3.5
Polynomial Long Division 1
Polynomial Long Division 2
Polynomial Long Division 3
Polynomial Long Division 4
10/18-10/22 Exam 1 Section 3.6 Section 3.7 Section 3.6
Real Zeros/Graphs of Polynomials
Zeros of a Polynomial Function
Zeros of a Polynomial Function 2
Zeros of a Polynomial Function 3
Section 3.7
Graphing Rational Functions
Find the Equation of a Rational Function
Vert. and Horiz. Asymptotes
Intercepts, Asymptotes, Removable Discontinuities
10/25-10/29 Section 4.1
Section 4.2
Section 4.3 Section 4.4
4.5
Section 4.1
Exponential Growth Function
Compound Interest
Section 4.2
Graph Exponential Functions
Section 4.3
Introduction to Logarithms
Section 4.4
Graphing Exponentials/Logarithms
Matching Graphs
Domain of Logarithms
Setion 4.5
Properties of Logarithms
Expand Logarithmic Expressions
Evaluate a Natural Logarithm
11/1-11/5 Section 4.6
Section 4.7
Section 5.1 Section 5.2
11/8-11/12 Section 5.3 Section 5.4 Section 6.1
11/15-11/19 Exam 2 Section 6.2 Section 6.3
11/22-11/26 Section 7.1
Section 7.2
Section 7.2
Section 7.3
Holiday
11/29-12/3 Section 7.5 Section 8.1 Section 8.2
Finals Week
12/6-12/10
Final Exam Tuesday 12/7/21 from 8:00AM-11:00AM