Calculus with Analytic Geometry I

Course: MAT220First Term: 2022 Fall
Final Term:
Current
Final Term:
2023 Summer |
Lecture 5.0 Credit(s) 5.0 Period(s) 5.0 Load
Credit(s) Period(s)
Load
AcademicLoad Formula: S - Standard Load |

General Education Designation: Mathematics - [MA]

Arizona Shared Unique Number SUN# MAT2220

MCCCD Official Course Competencies | |||
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1. Analyze the behavior and continuity of functions using limits. (I)
2. State the definition and explain the significance of the derivative. (II) 3. Compute the derivative using the definition and associated formulas for differentiation. (II) 4. Solve application problems using differentiation. (II) 5. State and explain the significance of the Fundamental Theorem of Calculus. (III) 6. Compute anti-derivatives, indefinite and definite integrals of elementary functions. (III) 7. Read and interpret quantitative information when presented numerically, analytically or graphically. (I, II, III) 8. Compare alternate solution strategies, including technology. (I, II, III) 9. Justify and interpret solutions to application problems. (I, II, III) 10. Communicate process and results in written and verbal formats. (I, II, III) | |||

MCCCD Official Course Outline | |||

I. Limits and Continuity
A. Definitions B. Computations with limits 1. Algebraic 2. Numerical 3. Graphical C. Infinite limits D. Limits at infinity II. The Derivative A. Definition B. Techniques of differentiation C. Extrema of a function D. First and second derivative test E. Applications of the derivative III. The Integral A. Anti-derivatives and the indefinite integral B. Evaluate the definite integral C. Properties of the definite integral D. Fundamental theorem of calculus E. Elementary applications of the integral | |||

MCCCD Governing Board Approval Date: March 22, 2022 |

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the
curricular process, course and program information is subject to change in order to reflect the most current information available.