MATH 131 Calculus I
Course Information
| Course Number | MATH 131 |
|---|---|
| Course Title | Calculus I |
| Description | This course introduces the key concepts of the derivative and the integral. Beginning with the definition of limit, the notion of continuity is developed which is perhaps the most important thread running throughout the calculus. This leads naturally to the process of differentiation and then integration, concluding with the all important Fundamental Theorem of the Calculus. Along the way, applications to classical and modern science, economics, the social sciences and other fields are explored. (Prerequisites: MATH 125 or MATH 130 with a grade of C or higher, or a score of 103 or higher on the College Level Mathematics portion of the Accuplacer test.) (MNTC 4: Mathematical/Logical Reasoning) |
| Total Credits | 4 |
| Total Hours | 80 |
| Instruction Type | Credits and Hours |
|---|---|
| Lecture | 3 Credits, 60 Hours |
| Lab | 1 Credit, 20 Hours |
Pre/Corequisites
Prerequisite: MATH 125 or MATH 130 with a grade of C or higher, or a score of 103 or higher on the College Level Mathematics portion of the Accuplacer test. (MNTC 4: Mathematical/Logical Reasoning)
Institutional Core Competencies
- Critical and Creative Thinking - Students will be able to demonstrate purposeful thinking with the goal of using a creative process for developing and building upon ideas and/or the goal of using a critical process for the analyzing and evaluating of ideas.
Course Competencies
- Model real-world phenomena with mathematical functions
- Graph functions in the plane
- Apply properties of common inverse functions
- Define the limit
- Compute limits using proven methods
- Extend the notion of limit to unbounded or asymptotic behavior
- Explain the Intermediate Value Theorem
- Define continuity
- Define derivative
- Compute derivatives of common functions
- Compute derivatives of combinations of functions
- Compute the derivatives of the trigonometric functions
- Apply differentiation to functions expressed in other ways
- Explain the Mean Value Theorem for Derivatives
- Apply the differential calculus to analytic geometry
- Solve applied problems using differentiation
- Define differential
- Define antiderivative
- Compute antiderivatives of combinations of functions
- Define the definite integral
- Compute the value of a definite integral
- Prove the Fundamental Theorem of the Calculus
- Evaluate definite integrals using substitution
- Apply definite integrals to area problems
SCC Accessibility Statement
South Central College strives to make all learning experiences as accessible as possible. If you have a disability and need accommodations for access to this class, contact the Academic Support Center to request and discuss accommodations.
North Mankato: Room B-132, (507) 389-7222; Faribault: Room A-116, (507) 332-7222.
Additional information and forms can be found at: southcentral.edu/disability
This material can be made available in alternative formats by contacting the Academic Support Center at 507-389-7222.