MATH 2A Single-Variable Calculus (2013-2014)

MATH 2A Single-Variable Calculus

(Required for AE, BME, BMEP, CE, CSE, ChE, CpE, EE, EnE, GE, ME and MSE.)
Catalog Data:

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)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0538497909.

Recommended Textbook:
None
References:

none

Coordinator:
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic

none

Lecture Topics:
  • 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
Class Schedule:

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

Computer Usage:

none

Laboratory Projects:

none

Professional Component

Contributes toward Mathematics and Basic Science.

Design Content Description
Approach:
Lectures: 0%
Laboratory Portion: 0%
Grading Criteria:

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%

Estimated ABET Category Content:

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

Prepared:
August 16, 2013
Senate Approved:
May 19, 2013
Approved Effective:
2013 Winter Qtr