MA 129 - Survey of Calculus
Description
Topics covered in MA 129 include limits of functions, differentiation and integration of polynomial, exponential, and logarithmic functions, curve sketching, optimization, related rates, selected techniques of integration and an introduction to multivariable calculus. Applications of integration include area, growth, decay and differential equations, with particular focus on applications to economics, life sciences, and social sciences. A graphing calculator is required for this course. MA 129 is not intended for those curricula requiring MA 133 , MA 134 , MA 255, or MA 257 .
Credit Hours: 5
Contact Hours: 5
School: School of STEM
Department: Mathematics
Discipline: MA
Major Course Revisions: General Education Review
Last Revision Date Effective: 20230222T14:23:31
Course Review & Revision Year: 2027-2028
Course Type:
General Education- Offering designed to meet the specific criteria for a GRCC Distribution Requirement. The course should be designated by the requirement it fulfills.
Course Format:
Lecture - 1:1
General Education Requirement: Mathematics
General Education Learner Outcomes (GELO):
3. Critical Thinking: Gather and synthesize relevant information, evaluate alternative perspectives, or understand inquiry as a means of creating knowledge, 7. Problem-Solving: Apply theory, calculation, or experimentation to demonstrate effective problem-solving
Course Learning Outcomes:
1. Know properties of exponential and logarithmic functions.
2. Differentiate algebraic, exponential and logarithmic functions.
3. Use derivatives to find rates of change.
4. Use properties of first and second derivatives to sketch curves.
5. Use properties of first and second derivatives to solve applied optimization problems, including applications in business and economics. (GELO7)
6. Differentiate products, quotients and compositions of functions.
7. Apply exponential and logarithmic functions to growth, decay and compound interest problems. (GELO7)
8. Find basic antiderivatives, including the use of substitution and parts.
9. Evaluate definite integrals and find areas using the Fundamental Theorem of Calculus.
10. Solve differential equations by separation of variables.
11. Apply the concepts of integration to growth/decay problems and to applications on economics. (GELO7)
12. Evaluate functions of several variables.
13. Compute partial derivatives.
14. Find relative maxima and minima of multivariable functions.
15. Develop a plan to implement a solution to a problem or issue. (GELO3)
16. Complete work accurately, with attention to detail.
Approved for Online Delivery?: No
Course Outline:
I. FunctionsA. Functions and their graphs B. Some important functions C. The algebra of functions D. Zeros of functions - The Quadratic Formula and Factoring II. The Derivative A. The slope of a line B. The slope of a curve at a point C. The derivative D. Limits and the derivative E. Differentiability and continuity F. Rules for differentiation G. The derivative as a rate of change III. Applications of the Derivative A. Increasing and decreasing functions B. Relative extreme values of functions C. Absolute extreme values of functions D. The second derivative E. Applications to curve sketching F. Applied optimization problems G. Tangent line approximations and the differential IV. Techniques of Differentiation A. The product rule B. The quotient rule C. The chain rule V. The Exponential and Logarithmic Functions A. The Exponential function B. The Logarithmic function C. The derivatives of the Exponential and Logarithmic functions D. Applications of the Exponential function VI. Integration A. Antiderivatives B. Integration by substitution C. Integration by parts D. Separable first-order differential equations E. Applications to bounded growth models VII. The Definite Integral A. The area under a curve B. Properties of the definite integral C. Some applications of integration D. Improper integrals VIII. Functions of Several Variables A. Functions of several variables B. Partial derivatives C. Extreme values
Mandatory CLO Competency Assessment Measures:
None
Name of Industry Recognize Credentials: None
Instructional Strategies:
Lecture: 10-90%Group work: 10-50% Out-of-class projects: 0-20% Computer work: 0-20%
Mandatory Course Components:
None
Academic Program Prerequisite: None
Prerequisites/Other Requirements: C or Higher in one of the following courses: MA 110, MA 127, MA 131 or ALEKS score of 61 or Higher
English Prerequisite(s): None
Math Prerequisite(s): None
Course Corerequisite(s): None
Course-Specific Placement Test: None
Course Aligned with IRW: N/A
Consent to Enroll in Course: No Department Consent Required
Total Lecture Hours Per Week: 5
Faculty Credential Requirements:
18 graduate credit hours in discipline being taught (HLC Requirement), Master’s Degree (GRCC general requirement)
Faculty Credential Requirement Details: Thorough knowledge and understanding of the concepts and applications encountered in the standard three-semester sequence of calculus, as well as a basic understanding of business, economics, social and life sciences.
General Room Request: None
Maximum Course Enrollment: 35
Equivalent Courses: None
Dual Enrollment Allowed?: Yes
Number of Times Course can be taken for credit: 1
Programs Where This Courses is a Requirement:
Pre-Elementary Education, A.A. (Ferris State University)
Course Fees: $19.00
People Soft Course ID Number: 101079
Course CIP Code: 27.01
High School Articulation Agreements exist?: No
If yes, with which high schools?: NA
Non-Credit GRCC Agreement exist?: No
If yes, with which Departments?: NA
Corporate Articulation Agreement exist?: No
If yes, with which Companies?: NA
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