MCS 320 course content

Course Content

Lecture notes will be posted below.

Part I: First Steps with Maple

L-1: Introduction to Computer Algebra; Maple worksheet.
L-2: Getting Started and Getting Help; Maple worksheet.
L-3: Exact and Floating-Point Numbers; Maple worksheet.
L-4: Algebraic and Complex Numbers; Maple worksheet.
L-5: Assignment and Unassignment; Maple worksheet.
L-6: Evaluation and Names of Variables
L-7: Types, Attributes, Properties, and Units
L-8: Input/Output Formats and Files
L-9: Code Generation, download the file hello.dll (only for Windows); Maple worksheet.

Part II: Polynomials and Rational Expressions

L-10: Univeriate and Multivariate Polynomials
L-11: Rational Expressions and Conversions
L-12: Representations of Expressions; Maple worksheet.
L-13: Substitution, expansion and factorization; Maple worksheet.
L-14: Normalizing, Collecting, and Sorting; Maple worksheet.

R-1: Review of the first 14 lectures .

E-1: First Midterm Exam on Part I and II, with the Answers (html) and Maple worksheet .

Part III: Calculus

L-15: Defining Mathematical Functions; Maple worksheet.
L-16: Maple Procedures and Recursion; Maple worksheet.
L-17: Working with Functions; Maple worksheet.
L-18: Symbolic and Automatic Differentiation.
L-19: Integration and Summation; Maple worksheet.
L-20: Series, Approximations, and Limits; Maple worksheet.

Part IV: Advanced Maple

L-21: Sequence, Set, and List; Maple worksheet.
L-22: Array, Table, and Conversions; Maple worksheet.
L-23: assume and simplification; Maple worksheet.
L-24: two dimensional plots; Maple worksheet.
L-25: three dimensional plots
L-26: solving equations
L-27: differential equations
L-28: linear algebra; Maple worksheet.

R-2: Review of lectures 15 to 28 . Some problems were answered in class, see the Maple worksheet.

E-1: Second Midterm Exam on Part III and IV, with the Answers (html) and Maple worksheet

Part V: MATLAB

M-1: introduction to MATLAB ; log file created with diary .
M-2: Making Plots with MATLAB ; log file created with diary .
M-3: Polynomials and Curve Fitting ; log file created with diary .
M-4: Programming in MATLAB ; log file created with diary ; functions traprule.m and comptrap.m .
M-5: MATLAB as drawing tool ; log file created with diary
M-6: Images and Movies in MATLAB ; log file created with diary
M-7: Signal Processing in MATLAB ; log file created with diary
M-8: Special Matrices in MATLAB ; log file created with diary
M-9: Linear Programming in MATLAB ; log file created with diary

R-3: Review of first Maple part . Some problems were answered in class, see the Maple worksheet.

R-4: Review of second Maple part . Some problems were answered in class, see the Maple worksheet.

R-5: Review of MATLAB . The function simpson.m is called as in this file created with diary.