# MATH 2A Single-Variable Calculus (2015-2016)

#### MATH 2A Single-Variable Calculus

**MATH 2A Single-Variable Calculus (Credit Units: 4)** Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates and optimization. Exponential and logarithm functions. Prerequisite: Math 1B or placement into MATH 2A via the Calculus Placement exam (fee required), or a score of 3 on the AP Calculus AB exam, or a score of 600 or higher on the Mathematics section of the SAT Reasoning Test. Math 1B with a grade of C or better. . School of Physical Sciences, School of Engineering, and School of Information and Computer Sciences majors have first consideration for enrollment. . (Design units: 0)

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- Four ways to represent a function
- Mathematical models, transformations of graphs
- Exponential functions
- Inverse functions and logarithms
- Tangent and velocity problems, Limit of a function
- Calculating limits using limit laws
- Continuity
- Limits at infinity, Horizontal Asymptotes
- Derivative and rate of change
- Derivatives as a function
- Derivative of a Polynomial and Exponential Function, of trigonometric functions, and of Logarithm Functions
- Product and Quotient Rules
- The Chain Rule
- Implicit differentiation
- Exponential Growth and Decay
- Related rates
- Linear Approximation and Differentials
- Maxima and minimum values
- The mean-value theorem
- How derivatives affect the shape of a graph
- Intermediate Forms and L'Hospital's rule
- Curve sketching
- Optimization
- Antiderivatives

Meets for 3 hours of lecture and 2 hours of discussion each week for 10 weeks.

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Contributes toward Mathematics and Basic Science.

Option 1: * Webworks: 10% * Quizzes & Pre-lecture Notes: 10% * Midterm I: 20% * Midterm II: 20% * Final: 40% * Total: 100%

Option 2: * Webworks: 8.5% * Quizzes: 8.5% * Written Homework: 3% * Midterm I: 20% * Midterm II: 20% * Final: 40% * Total: 100%

Mathematics and Basic Science: 4.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units