MAC 2233 — Business Calculus — Syllabus
Prerequisites: C (2.0) or better in MAC 1105, or C (2.0) or better in MAC 1140, or C (2.0) or better in MAC 1147, or SAT Math score of 590 or
better, or ACT Math score of 26 or better, or College-Level Math CPT score of 78 or better.
Course Description: The course has two different formats: daytime sections have three 50-minute lectures per week and two 50-minute help sessions;
evening sections have two 105-minute lectures per week. Successful completion of the course merits 4 semester hours of credit. The schedule outlined below
allows time for four midterm exams plus a cumulative final exam, which are the norms for this course. (Note: A “lecture” is defined as a 50-minute time
period.)
Text: Brief Calculus: An Applied Approach, 8th Edition, by Larson
Course Content
Chapter 0: A Precalculus Review (0-1 lecture)
0.1 The Real Number Line and Order
0.2 Absolute Value and Distance on the Real Number Line
0.3 Exponents and Radicals
0.4 Factoring Polynomials
0.5 Fractions and Rationalization
Chapter 1: Functions, Graphs, and Limits (6 lectures)
1.1 The Cartesian Plane and the Distance Formula
1.2 Graphs of Equations
1.3 Lines in the Plane and Slope
1.4 Functions
1.5 Limits
1.6 Continuity
Chapter 2: Differentiation (9 lectures)
2.1 The Derivative and the Slope of a Graph
2.2 Some Rules for Differentiation
2.3 Rates of Change: Velocity and Marginals
2.4 The Product and Quotient Rules
2.5 The Chain Rule
2.6 Higher-Order Derivatives
2.7 Implicit Differentiation
2.8 Related Rates
Chapter 3: Applications of the Derivative (9 lectures)
3.1 Increasing and Decreasing Functions
3.2 Extrema and the First-Derivative Test
3.3 Concavity and the Second-Derivative Test
3.4 Optimization Problems
3.5 Business and Economics Applications
3.6 Asymptotes
3.7 Curve Sketching: A Summary
3.8 Differentials and Marginal Analysis
Chapter 4: Exponential and Logarithmic Functions (6 lectures)
4.1 Exponential Functions
4.2 Natural Exponential Functions
4.3 Derivatives of Exponential Functions
4.4 Logarithmic Functions
4.5 Derivatives of Logarithmic Functions
4.6 Exponential Growth and Decay
Chapter 5: Integration and Its Applications (6 lectures)
5.1 Antiderivatives and Indefinite Integrals
5.2 Integration by Substitution and The General Power Rule
5.3 Exponential and Logarithmic Integrals
5.4 Area and the Fundamental Theorem of Calculus
5.5 The Area of a Region Bounded by Two Graphs
5.6 The Definite Integral as the Limit of a Sum (omit)
Chapter 6: Techniques of Integration (3 lectures)
6.1 Integration by Parts and Present Value
6.2 Partial Fractions and Logistic Growth (omit)
6.3 Integration Tables (omit)
6.3 Numerical Integration (omit)
6.5 Improper Integrals (omit)
Chapter 7: Functions of Several Variables (omit)
7.1 The Three-Dimensional Coordinate System
7.2 Surfaces in Space
7.3 Functions of Several Variables
7.4 Partial Derivatives
7.5 Extrema of Functions of Two Variables
7.6 Lagrange Multipliers
7.7 Least Squares Regression Analysis
7.8 Double Integrals and Area in the Plane
7.9 Applications of Double Integrals
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