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 Maple worksheet.
L-7: Types, Attributes, Properties, and Units Maple worksheet.
L-8: I/O Formats and Files Maple worksheet, the files mysum (Maple procedure) and mydata.txt .
L-9: Code Generation and Connectivity Maple worksheet, and the file hello.dll (for Windows).

Part II: Polynomials and Rational Expressions

L-10: univariate and multivariate polynomials; Maple worksheet.
L-11: rational expressions; Maple worksheet.
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; Maple worksheet with some answers.

E-1: first midterm exam; Maple worksheet with answers.

Part III: Calculus

L-15: defining mathematical functions; Maple worksheet.
L-16: recursive Maple procedures; Maple worksheet.
L-17: working with functions; Maple worksheet.
L-18: symbolic and automatic differentiation; Maple worksheet.
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 Maple worksheet.
L-27 differential equations; Maple worksheet.
L-28 linear algebra; Maple worksheet.

R-2: review of lectures 15 to 28; Maple worksheet with some answers.

E-2: second midterm exam ; Maple worksheet with answers.

Part V: Introduction to MATLAB

M-1 introduction to MATLAB ; file created with diary .
M-2 making plots with MATLAB ; file created with diary .
M-3 polynomials and curve fitting ; file created with diary .
M-4 programming in MATLAB ; file created with diary .
Scripts made in class: cool.m , sumavg.m , areacircle.m , hat.m , findmax.m , and traprule.m .
M-5 MATLAB as drawing tool ; file created with diary .
Script made in class: drawcar.m .
M-6 images and movies in MATLAB ; file created with diary .
Script made in class: crypto.m ;
M-7 signal processing ; file created with diary .
M-8 special matrices ; file created with diary .
M-9 linear programming ; file created with diary .

R-3: review of parts 1 and 2 of the course; Maple worksheet with some answers.

R-4: review of parts 3 and 4 of the course

R-5: review of part 5 of the course

The final exam is in SEL 2249 on Wednesday 7 May from 8:00 to 10:00AM.