| Searching Current Courses For Fall 2016 |
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Course: |
MAT 201
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Title: | Calculus I: MA1 |
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Long Title: | Calculus I: GT-MA1 |
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Course Description: | Introduces single variable calculus and analytic geometry. It includes limits, continuity, derivatives, and applications of derivatives as well as indefinite and definite integrals and some applications.~~This course is one of the Statewide Guaranteed Transfer courses. GT-MA1 |
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Min Credit: | 5 |
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Max Credit: | |
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Course Notes: | Note: Competencies and Outline entered from Core Transfer |
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| C: Documents. A new course template exists and will be |
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| C: submitted for review. |
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Origin Notes: | ACC |
STANDARD COMPETENCIES:
1. Solve selected algebraic and trigonometric problems.
2. Identify limits of algebraic, trigonometric, and composite functions.
3. Solve for the derivatives of algebraic, trigonometry and composite functions.
4. Solve for the derivatives of selected functions.
5. Use the appropriate algorithm(s) (including product, quotient, and chain rules) to find derivatives of algebraic, trigonometric, and composite function.
6. Find derivatives of implicitly defined functions.
7. Use the first and second derivatives of functions to find extrema, points of inflection, and sketch the graph of functions.
8. Set up and solve applied problems selected by the instructor.
9. Find indefinite and definite integralsof algebraic, trigonometric, and composite functions.
10. Apply definite integrals.
11. Read, analyze and apply written material to new situations.
12. Write and speak clearly and logically in presentations and essays.
13. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.
TOPICAL OUTLINE:
I. Pre-calculus Review
II. Limits and continuity of Algebraic, Trigonometric, and Composite Functions
A. Difference Quotients
B. Slope of Tangent Lines
C. Limit Theorems
D. Continuity
E. Intermediate-Value Theorem
III. Derivatives of Algebraic, Trigonometric, and Composite Functions
A. Definitions of a Derivative
B. Algorithms for Finding Derivatives
C. Implicit Differentiation
IV. Application of Derivatives
A. Finding Extrema
B. Applications of Derivatives to Curve Sketching
C. Problem Solving
V. Integration
A. Indefinite Integration
B. Definite Integration
C. Fundamental Theorem of Calculus
VI. Applications of the Definite Integral
A. Areas and Volumes
B. Arc Length
C. Physics Applications
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Arapahoe Community College |
ACC |
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Community College of Aurora |
CCA |
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Colorado Community College Sys |
CCCS |
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Community College of Denver |
CCD |
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Colorado Northwestern CC |
CNCC |
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Front Range Community College |
FRCC |
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Lamar Community College |
LCC |
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Morgan Community College |
MCC |
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Northeastern Junior College |
NJC |
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Otero College |
OJC |
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Pueblo Community College |
PCC |
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Pikes Peak State College |
PPCC |
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Red Rocks Community College |
RRCC |
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Trinidad State College |
TSJC |
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