Simon Fraser University
Engaging the World

Course Outlines

Spring 2015 - MATH 154 D100

Calculus I for the Biological Sciences (3)

Class Number: 2689

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 13, 2015: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Apr 17, 2015
    Fri, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    Pre-Calculus 12 (or equivalent) with a grade of at least B, or MATH 100 with a grade of at least C, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test. Students with credit for either MATH 150, 151 or 157 may not take MATH 154 for further credit.

Description

CALENDAR DESCRIPTION:

Designed for students specializing in the biological and medical sciences. Topics include: limits, growth rate and the derivative; elementary functions, optimization and approximation methods, and their applications; mathematical models of biological processes. Quantitative.

COURSE DETAILS:

Chapter 1: Review and Functions
1.1 Preliminaries
1.2 Elementary Functions
1.3 Graphing

Chapter 3: Limits and Continuity
3.1 Limits 3.2 Continuity
3.3 Limits at Infinity
5.3.3 Horizontal and Vertical Asymptotes
3.4 Overview of The Sandwich Theorem and Some Trigonometric Limits 
3.5 Overview of The Intermediate Value Theorem

Chapter 4: Differentiation   
4.1 Formal Definition of the Derivative 
4.2 Differentiation Rules
4.3 More Differentiation Rules 
4.4 Chain Rule and Higher Derivatives 
4.5 Derivatives of Trigonometric Functions 
4.6 Derivatives of Exponential Functions 
4.7 Derivatives of Logarithmic Functions
4.8 Approximation and Local Linearity   

Chapter 5: Applications of Differentiation 
5.7 Newton's Method
5.1 Extrema and the Mean Value Theorem 
5.2 Monotonicity and Concavity 
5.3 Extrema, Inflection Points, and Graphing 
5.4 Optimization 
5.5 L'Hospital's Rule

Grading

  • Diagnostic Test 5%
  • Online Assignments 5%
  • Paper Assignments 10%
  • 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:

(PKG: Note, the following 2 textbooks below are included in one package bundle)
Calculus for Biology and Medicine
Claudia Neuhauser
3E, Pearson Prentice Hall
and
Just in Time Algebra
Guntram Mueller
3E, Pearson
ISBN: 9780133117998

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