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| Math 131 Calculus I |
| Catalog Data |
The goals of the course are to teach you important concepts of calculus and its applications. Topics include functions, the derivative and its interpretations, the definite integral and its interpretations, the Fundamental Theorem of Calculus, rules of differentiation, applications of the derivative and the antiderivative. The course uses graphical, numerical and algebraic approaches for each concept. Three lectures and one laboratory period per week. Prerequisite: Math 117
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| Textbook |
Calculus, Robert T. Smith and Roland B. Minton, third edition, McGraw Hill, 2007.
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| Calculator Policy |
You must use a graphing calculator, such as the TI-89, on assignments and occasionally on tests.
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| Prerequisites |
You should have fundamental skills in college algebra, trigonometry, functions and problem solving.
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| Goals |
You will learn fundamental concepts of calculus and their applications. In particular, you will learn basic concepts of differentiation and integration. You will improve your skills in problem solving and analytical reasoning.
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Syllabus |
| Topic |
Sections |
Classes |
Limits and Continuity
Concept of limit, computation of limits, continuity |
1.1-5 |
7 |
Differentiation
Tangent lines and velocity, the derivative, the power rule, the product and quotient rules, the chain rule, derivatives of trigonometric, exponential, logarithmic and inverse trigonometric functions, implicit differentiation, the mean value theorem |
2.1-9 |
12 |
Applications of differentiation
Newton's method, L'Hopital's rule, maximum and minimum values, increasing and decreasing functions, concavity, curve sketching, optimization |
3.1-7 |
11 |
Integration
Antiderivatives, sums, area, the definite integral, the Fundamental Theorem of Calculus |
4.1-5 |
8 |
| Tests |
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4 |
| Total |
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42 |
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| Final Exam |
The final exam is comprehensive and departmental. It consists of two parts. In the first part, you can not use a calculator. In the second part, you may use a calculator.
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| Resources |
The
Math Center
located in Cooper Wilson 321 offers free tutoring in calculus.
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| Attendance |
You must attend class regularly.
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| Calculus II |
A prerequisite for Calculus II is a grade of C or better in Calculus I.
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Academics