Spring 2018 - MATH 158 E100

Calculus II for the Social Sciences (3)

Class Number: 3066

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 3 – Apr 10, 2018: Mon, 4:30–5:20 p.m.
    Burnaby

    Jan 3 – Apr 10, 2018: Wed, 4:30–6:20 p.m.
    Burnaby

  • Exam Times + Location:

    Apr 18, 2018
    Wed, 7:00–10:00 p.m.
    Burnaby

  • Prerequisites:

    MATH 150 or 151 or 154 or 157.

Description

CALENDAR DESCRIPTION:

Theory of integration and its applications; introduction to multivariable calculus with emphasis on partial derivatives and their applications; introduction to differential equations with emphasis on some special first-order equations and their applications to economics and social sciences; continuous probability models; sequences and series. Students with credit for MATH 152 or 155 may not take MATH 158 for further credit. Quantitative.

COURSE DETAILS:

Integration

  • Antiderivatives
  • Substitution
  • Area and the Definite Integral
  • The Fundamental Theorem of Calculus
  • Evaluating Definite Integrals
  • The Area between two curves
Additional Topics in Integration:
  • Integration by Parts
  • Numerical Integration
  • Improper Integrals
  • Using Tables of Integrals and Computers
  • Average Value of a Function
  • Income Distributions and the Gini Index.
Multivariate Calculus:
  • Functions of Several Variables
  • Partial Derivatives
  • Maxima and Minima
  • Least Squares Approximation
  • Constrained Optimization- (Optional)
  • Double Integrals
Differential Equations
  • Solutions of Elementary and Separate Equations
  • Linear First-Order Differential Equations
  • Applications of Separable Differential Equations
Probability
  • Continuous Probability Distribution
  • Expectation, Variance and Standard Deviation
  • The Normal Distribution
Sequences and Series
  • Taylor Polynomials
  • Infinite Sequences
  • Infinite series
  • Power and Taylor Series

Grading

  • Homework 20%%
  • Midterm 1 15%%
  • Midterm 2 15%%
  • Final Exam 50%%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.

Materials

REQUIRED READING:

Applied Calculus for the Managerial, Life and Social Sciences
First Canadian Edition 2nd Reprint (Enhanced)
ST. Tan, P. Menz and D. Ashlock
Publisher:  Nelson Education


ISBN: 9780176609955

Registrar Notes:

SFU’s Academic Integrity web site http://students.sfu.ca/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS