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Nov 27, 2024
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MAT 135 - Calculus I Limits, continuity, derivatives and applications of derivatives. Trigonometric, exponential and logarithmic functions. Integration, the Fundamental Theorem of Calculus, integration by substitution. Prerequisites: A grade of C- or better in MAT 115 or a score of 50 percent or better on the Calculus Placement Exam. Permission of department required for students with credit for MAT 121. Fulfills GE 1; LASR. (4 cr. hr.)
Frequency code A = offered every semester
Student Learning Outcomes
Upon successful completion of this course, students will be able to:
- Connect the concepts of derivative, slopes of tangent and secant lines, and instantaneous and average rates of change.
- Apply the concept of a limit to test for continuity and find derivatives.
- Find derivatives of polynomial, rational, exponential, trigonometric and logarithmic functions and interpret their meanings in terms of that function's behavior.
- Use the chain, product and quotient rules in finding derivatives.
- Apply implicit differentiation in modeling problems involving related rates.
- Interpret first- and second-order derivatives in the context of geometry and the physical and social sciences and apply them to curve sketching, optimization and mathematical modeling.
- Find antiderivatives and evaluate integrals using the Fundamental Theorem of Calculus and basic techniques including substitution.
- Use integration and differentiation strategically in mathematical applications.
- Connect an integral with its Riemann sum.
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