Math Analysis
Avon Lake City Schools
Curriculum Framework
Math Analysis
Course Overview:
Math Analysis is a senior math course devoted to discrete math, elementary probability, and an introduction to Calculus with applications to business and life sciences. A graphing calculator is required (TI-84, approximate cost: $100-$110). Prerequisite: Pre-Calculus and permission of the instructor. This class meets one period daily for ½ unit of credit each semester.
Textbook (Title and Publishing Company):
Lial et al: Mathematics with Applications in the Management, Natural, and Social Sciences
Online/Supplemental Materials:
Assessments:
A variety of assessments will be given, as well as one or two major projects.
Content/Topics/Learning Goals
Subject to Pacing and Schedules
1st Quarter
- Unit 1: Algebra Review
- Unit 2: Equations, Inequalities, and Graphs; Includes some review from prior courses as well as mathematical modeling and some other applications, like income taxes
- Unit 3: Linear and Quadratic Functions and Applications; includes modeling and other applications like freefall, business applications (like cost, revenue, profit), and supply and demand
2nd Quarter
- Unit 4: Exponential and Log Functions and Applications; includes modeling and various advanced exponential/log applications
- Unit 5: Mathematics of Finance; includes further applications of exponentials, annuities; loan amortizations
- Unit 6: Systems of Equations and Matrices
- Unit 7: Linear Programming; includes applications
3rd Quarter
- Unit 7: Linear Programming
- Unit 8 (Ch. 11 in text): Introduction to Differential Calculus
- Unit 9: (Ch. 12 in text): Derivatives and Applications
4th Quarter
- Unit 9: (Ch. 12 in text): Derivatives and Applications (as time allows); development of the concept of a derivative; derivative rules (no trig); optimization; marginal cost, revenue, and profit;
- Unit 10 (Ch. 13 in text): Introduction to Integration (as time allows)
Last updated: September, 2023
