CCCCO Course Outline of Record

MATH 65A - Calculus I

MATH
Units: 0.00
Lecture Units: 0.00
Lecture Hours: Standard: 0.00 Range: 0.00 - 0.00
Outside-of-Class Hours: Standard: 0.00 Range: 0.00 - 0.00
Total Student Learning Hours: Standard: 0.00 Range: 0.00 - 0.00
Letter Grade
Distance Education
None
Conditions of Enrollment
Prerequisite: Completion with a C or better in: MATH 61. Advisory: .
Course Description
Functions, limits, and continuity; differentiation of algebraic, trigonometric, logarithmic, and exponential functions with applications; integration of algebraic, trigonometric, logarithmic, and exponential functions; and the definite integral and some applications, including rectilinear motion and average value. A TI-85/86 graphing calculator is required for the course.
Course Objectives
Objective
Course Content

Mathematics 65A is the first of a traditional, three semester sequence in calculus and analytic geometry. It is a required course for many disciplines including mathematics, engineering, and physics. The limit of a function is the fundamental concept. The course will include, but not be limited to, the following topics:

    1. Functions and graphs.
    2. Limits: algebraic, trigonometric, logarithmic, and exponential.
    3. Continuity and intermediate value theorem.
    4. The derivative as a limit; applications to velocity and tangent to a curve.
    5. Derivative formulas: algebraic, trigonometric, logarithmic, and exponential.
    6. Differentials. 
    7. Implicit differentiation.
    8. Applications of the derivative--extrema.
    9. Mean Value Theorem and Rolle's theorem.
    10. Applications of the derivative--curve sketching including first and second derivative tests and asymptotes. 
    11. Applications of extrema.
    12. Derivatives as rates of change and related rates.
    13. Rectilinear motion.
    14. Indefinite integrals.
    15. Area--upper and lower sums and definition of a definite integral.
    16. Fundamental Theorems of Calculus and definite integral calculations: algebraic, trigonometric, logarithmic, and exponential.
    17. Applications of logarithmic and exponential functions.
Methods of Evaluation
  • Other: Homework shall be checked for completeness Short quizzes involving application and analysis Take home tests and comprehensive written final exam involving application, analysis, and synthesis of concepts
Course Materials
Textbooks
Larson, Ron; Edwards, Bruce; Hostetler, Robert
Calculus with Analytic Geometry
7th
Houghton Mifflin Company
2001
No
0618141804
Other
Technology: T185 or 86 graphing calculator.
The instructor may require or recommend other supplementary material.
Codes/Dates
170100 - Mathematics, General