SYLLABUS

ME201
Advanced Calculus

Department of Mechanical & Mechatronics Engineering
University of Waterloo
Winter 2018

leibnitz

Instructor

Prof. J. Richard Culham
Office CPH 3653 x30291
culham.uwaterloo.ca

Teaching Assistants

Sai Praneeth Mupparapu
Office DC 2709
spmuppar@uwaterloo.ca
Mohammad Mashagbeh
Office E5 3041 x31408
m2almash@uwaterloo.ca

Course Description

A continuation of 1st year calculus, focusing on calculus of scalar and vector functions of several variables. Both classical calculus techniques and the computer implementation of numerical methods are discussed. Partial differentation, total derivatives, chain rule, and transformation of variables and are discussed. Applications include geometrical problems, error estimation, maxima and minima, and least squares curve fits. Multiple integration in standard coordinate systems vector calculus, curl, Laplacians, and Stoke's, Greens and the divergence theorems are explained and demostrated by examples.

Course Outline

Grades:
Midterm Exam: 35%
Project 15%
Final Exam: 50%
All exams are open book (Schaum's Outline plus a one page crib sheet)

Course Textbook

Calculus for Engineers 4th ed.,
Donald Trim,
Prentice Hall, 2008.
Mathematical Handbook of Formulas and Tables, 5th ed.
M.R. Spiegel, S. Lipschutz and J. Liu,
Schaum's Outline Series, 2017.

Schedule and
Calendar

Lectures:
Monday:     @9:30 AM    DWE 2402
Friday:     @8:30 AM    DWE 2402
   
Make-up Lectures:
Thursday, January 11     @8:30 AM    RCH 307
Thursday, February 1     @8:30 AM    RCH 307
Tuesday, March 6     @11:30 AM    STC 0040
   
Tutorials:
T01: Monday    @12:30 PM    MC 4058
T02: Thursday    @12:30 PM    MC 4060
   
Tutorial Topics

Assignments and Solutions

Week Section Problems
1 Assignment #1
2 Assignment #2
3 Assignment #3
4 Assignment #4
5 Assignment #5
7 Assignment #6
9 Assignment #7
10 Assignment #8
11 Assignment #9
12 Assignment #10
13 Assignment #11
   
Assigned Homework Problems

Midterm and Final Exams

Midterm Exam:
date: February 13, 2018
time: 8:30 am - 10:30 am
location: E5 3101, 3102
   
Final Exam:
date: April 13, 2018
time: 9:00 am - 11:30 am
location: E5 3101, 3102
   
Old Midterms and Final Exams



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Most recent update: 13-12-17