MATH C140: Business Calculus
| Item | Value |
|---|---|
| Curriculum Committee Approval Date | 06/18/2024 |
| Top Code | 170100 - Mathematics, General |
| Units | 4 Total Units |
| Hours | 72 Total Hours (Lecture Hours 72) |
| Total Outside of Class Hours | 0 |
| Course Credit Status | Credit: Degree Applicable (D) |
| Material Fee | No |
| Basic Skills | Not Basic Skills (N) |
| Repeatable | No |
| Grading Policy | Standard Letter (S),
|
| Local General Education (GE) |
|
| California General Education Transfer Curriculum (Cal-GETC) |
|
| Intersegmental General Education Transfer Curriculum (IGETC) |
|
| California State University General Education Breadth (CSU GE-Breadth) |
|
Course Description
For Business, Management, and Social Science majors. Functions, graphs, limits, continuity, derivatives, and integrals of exponential and logarithmic functions, the Chain Rule, multivariable functions, differential equations, and applications. PREREQUISITE: A course taught at the level of intermediate algebra or appropriate math placement. Transfer Credit: CSU; UC: Credit Limitation: MATH C140 and MATH C180 combined: maximum credit, 1 course. C-ID: MATH 140.C-ID: MATH 140.
Course Level Student Learning Outcome(s)
- Use limits, derivatives, and integrals to apply methods of calculus in business and other real-world applications.
Course Objectives
- 1. Find the limit of a function and intervals on which a function is continuous.
- 2. Find derivatives and integrals for a variety of functions including linear, quadratic, radical, polynomial, rational, exponential, and logarithmic functions and partial derivatives of multivariable functions.
- 3. Use limits, derivatives, and integrals to apply methods used by businesses to calculate revenue, increase profitability, decrease costs, manage inventory, study the environment, make predictions, and use in other real-world applications.
Lecture Content
FUNCTION REVIEW Linear and Absolute Value Functions Non linear Functions Rational and Piecewise Defined Functions Regression and Modeling LIMITS and DERIVATIVES Intuitive Limit Definition of Derivative Continuity Rates of Change and Slope Introduction to the Derivative; Use Derivatives to Tangent Lines Derivatives of Algebraic Functions Product, Quotient, and Chain Rules Higher-Order Derivatives Exponential and Logarithmic Functions Derivatives of Exponential and Logarithmic Functions APPLICATIONS of the DERIVATIVES First Derivative Test and Graphs of Functions Second Derivative Test; Sketch the Graph of Functions Using Horizontal and Vertical Asymptotes, Intercepts, Intervals Where the Function Is Increasing and Decreasing, Maximum and Minimum Values, Intervals of Concavity and Points of Inflection Absolute Extrema Optimization Business Applications Including Analysis of Marginal Cost Implicit Differentiation and Related Rates INTEGRAL and ITS APPLICATIONS Anti-derivatives and Integrals More Rules for Integration Substitution Techniques for Integration Definite Integrals and Area Between Curves Increments, Tangent Lines, Approximating Definite Integral As a Sum Applications of Integration in Business and Economics Find Definite and Indefinite Integrals By Using Integration Techniques Other Than the General Integral Formulas and Integration By Substitution Differential Equations MULTIVARIABLE CALCULUS Introduction to Functions of More than One Variable Partial Derivatives Optimization and LaGrange Multipliers Double Integrals
Method(s) of Instruction
- Lecture (02)
- DE Online Lecture (02X)
- Video one-way (ITV, video) (63)
- Cable (CA)
Instructional Techniques
- Deliver lectures of course content. - Assign homework and quizzes. - Deal with math anxiety by establishing a friendly, student-centered learning environment. - Relate material in the course to real life and the outside world. - Require participation including student-to-student and student-to-instructor interaction through the use of small-group activities and whole-class discussion. - Apply technologies to increase learner motivation such as Scientific and/or Graphing Calculator and computer software such as Wolfram
Reading Assignments
Alpha. - Midterm Exam at least 50% essay - Final Exam (comprehensive) at least 50% essay
Writing Assignments
Homework, problem-solving, preparation for class discussions and exams.
Out-of-class Assignments
Readings from textbook and other applicable resources such as current newspapers, magazines and other media.
Demonstration of Critical Thinking
Final Exam Midterm Exam Objective Examinations Problem Solving Exercises Projects (ind/group) Report Short Quizzes Skills Demonstration Written Assignments
Required Writing, Problem Solving, Skills Demonstration
Through class discussions and through showing detailed work on open-ended questions in the Midterm and Final Exams.
Eligible Disciplines
Mathematics: Masters degree in mathematics or applied mathematics OR bachelors degree in either of the above AND masters degree in statistics, physics, or mathematics education OR the equivalent. Masters degree required.
Manuals Resources
1. Required Calaway, S.,Hoffman, D., Lippman, D.. Applied Calculus, ed. OpenText, 2024 Rationale: -