The following list
shows the EIT math requirements and the courses which cover them at different
community colleges and universities in SE Florida. The codes mean
A = Florida Atlantic
University
B = Broward Community
College
D = Miami - Dade
Community College
P= Palm Beach
Community College
Dark Cell
= recommendation (first draft) by the Calculus Content Coordination Committee
of SFEEC.
WHEN VIEWED BY MS INTERNET EXPLORER AND PRINTED ON A BLACK AND WHITE
PRINTER. PRINTING IN COLOR, OR PRINTING BLACK AND WHITE THROUGH NETSCAPE
SHOULD WORK. I CAN FAX YOU A COPY OF THE TABLES IF YOU GIVE ME
YOUR FAX NUMBER (CALL ME AT 561 - 297 3237).
The courses are
MAT
1105 College Algebra
MAT 1140
Precalculus Algebra
MAC 1114 Trigonometry
Calculus 1,
2,
3,
and Differential Equations 1, 2 (or Engineering
Mathematics 2).
The course MAT
1147 Precalculus Algebra / Trigonometry is a combination of MAT 1140
and MAC 1114.
The above links refer to current course outlines
at FAU. Let me
know if your course outline is on the web - I can link it to this page.
Often, a topic is introduced in some course,
and revisited in subsequent courses. Only "substantial" re-visitations
are marked in the tables.
PRECALCULUS
AND ANALYTIC GEOMETRY
| ALGEBRA |
MAC
1105 |
MAC
1140 |
MAC
1114 |
Clc
1 |
Clc
2 |
Clc
3 |
DE
1 |
| Logarithms
/ Exponentials |
ABDP |
ABP |
|
AP |
|
|
A |
| The Solution
of Algebraic Equations |
ABDP |
ABP |
|
|
|
|
|
| Progressionsand Series |
A |
ABDP |
|
P |
P |
|
|
| ArithmeticProgression |
A |
ABDP |
|
|
|
|
|
| GeometricProgression |
A |
ABDP |
|
|
ABDP |
|
|
| Properties ofSeries |
|
|
|
|
ABDP |
|
A |
| Taylor's
Series |
|
|
|
|
ABDP |
|
ADP |
| COMPLEX QUANTITIES |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Definition and Representation
of a Complex Quantity |
ADP |
ABDP |
ADP |
|
|
|
|
| Properties of Complex
Quantities |
ABDP |
ABDP |
ADP |
|
|
|
ADP |
| TRIGONOMETRY |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Definition of an Angle |
|
|
ABDP |
|
|
|
|
| Measure of an Angle |
|
|
ABDP |
|
|
|
|
| Trigonometric Functions
of an Angle |
|
|
ABDP |
ABP |
AP |
|
AP |
| Fundamental Relations
Among the Functions (incl. Calculus) |
|
|
ABDP |
BP |
A |
|
|
| Functions of Multiple
Angles |
|
|
ABDP |
|
AB |
|
|
| Functions of Half Angles |
|
|
ABDP |
|
AB |
|
|
| Functions of Sum or
Difference of Two Angles |
|
|
ABDP |
|
|
|
|
| Sums, Differences and
Products of Two Functions |
|
|
ABDP |
|
|
|
|
| Properties of Plane
Triangles |
|
|
ABDP |
|
|
|
|
| Solution of the Right
Triangle |
|
|
ABDP |
|
|
|
|
| Solution of Oblique
Triangles |
|
|
ABDP |
|
|
|
|
| GEOMETRY
AND GEOMETRIC PROPERTIES |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Right Triangle |
A |
|
ABDP |
|
|
|
|
| Oblique Triangle |
|
|
ABDP |
|
|
|
|
| Square |
|
|
A |
|
|
|
|
| Rectangle |
|
|
A |
|
|
|
|
| Parallelogram |
|
|
A |
|
|
|
|
| Regular Polygon of
n Sides |
|
|
A |
|
|
|
|
| Circle |
ABP |
DP |
ABP |
A |
AB |
|
|
| Ellipse |
A |
B |
ADP |
|
BP |
|
|
| Parabola |
ABP |
BP |
ADP |
A |
ABP |
|
|
| Cube |
|
|
A |
|
A |
|
|
| Prism or
Cylinder |
|
|
A |
|
A |
|
|
| Pyramid
or cone |
|
|
A |
|
A |
|
|
| Sphere |
|
|
A |
|
A |
BDP |
|
| Conic Section
Equation |
A |
B |
A |
|
BDP |
P |
|
| PLANE ANALYTICAL GEOMETRY |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Rectangular and Polar
co-ordinates |
|
|
ABDP |
|
BP |
A |
|
| Points and Slopes |
ABDP |
ABP |
A |
ABP |
A |
A |
|
| Locus and equation |
AP |
A |
|
AP |
|
|
|
| Straight Line |
ABDP |
A |
|
AB |
A |
|
|
| Quadratic Equation
(ax2+by2+cxy+dx+...) |
ABP |
ABP |
|
A |
ABP |
|
|
| VECTORS |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Definition and Graphical
Representation |
|
A |
BDP |
|
|
ABP |
|
| Graphical Summation |
|
A |
BD |
|
|
AB |
|
| Analytical Representation
of Vector Components |
|
A |
BP |
|
|
ABP |
|
| Properties of Vectors |
|
A |
BDP |
|
|
ABP |
|
| Vector Sum of Vectors |
|
A |
BDP |
|
|
ABP |
|
| Product of vectors
by a scalar |
|
A |
BDP |
|
|
ABP |
|
| Dot Product |
|
A |
ABP |
|
|
ABP |
|
| Cross product |
|
A |
A |
|
|
ABP |
|
| Identities |
|
A |
|
|
|
B |
|
| Unit Vectors and Projections |
|
A |
BDP |
|
|
ABP |
|
| Vector and Scalar Equations |
|
A |
|
|
|
ABP |
|
| Rectangular Cartesian
Components |
|
A |
ABDP |
|
A |
ABP |
|
| LINEAR ALGEBRA |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Matrix Operations |
A |
ABP |
|
|
|
|
|
| Multiplication |
A |
ABP |
|
|
|
|
|
| Addition |
A |
ABP |
|
|
|
|
|
| Identity |
A |
ABP |
|
|
|
|
|
| Transpose |
|
ABP |
|
|
|
|
|
| Inverse |
A |
ABP |
|
|
|
|
|
| Types of Matrices |
|
ABP |
|
|
|
|
|
| Elementary Row and
Column Operations |
|
ABP |
|
|
|
|
|
| Determinants |
D |
ABP |
|
|
|
A |
A |
| Geometry
(Gram-Schmidt) |
|
|
|
|
|
|
|
CALCULUS
| DIFFERENTIAL
CALCULUS |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Definition of a Function |
ABDP |
ABP |
|
ABP |
|
|
|
| Definition of a Derivative |
|
|
|
ABDP |
|
A |
|
| Some Relations Among
Derivatives |
|
|
|
ABDP |
|
|
|
| Table of Derivatives/Integrals |
|
|
|
ABDP |
|
|
|
| Slope of a Curve. Tangent
and Normal |
|
|
|
ABDP |
|
|
|
| Maximum and Minimum
Values of a Function |
|
|
|
ABDP |
|
|
|
| Points of Inflection
of a Curve |
|
|
|
ABDP |
|
|
|
| Taylor's and Maclaurin's
Theorems |
|
|
|
|
ABDP |
|
|
| L'Hopital's Rule |
|
|
|
AD |
BP |
|
|
| Differential of a Function |
|
|
|
ABDP |
|
|
P |
| Functions of Several
Variables, Partial Derivatives, and Differentials |
|
|
|
|
|
ABDP |
|
| Numerical Methods |
|
|
|
ABP |
BAP |
A |
|
| Newton's Method of
Root Extraction |
|
|
|
ABP |
|
|
|
| Newton's
Method of Minimization |
|
|
|
|
|
|
|
| INTEGRAL CALCULUS |
MAC 1105 |
MAC 1140 |
MAC 1114 |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
| Definition of an Integral |
|
|
|
ABDP |
|
A |
|
| Fundamental Theorems
on lntegrals |
|
|
|
ADBP |
|
|
|
| Numerical Integration |
|
|
|
BP |
AD |
|
|
| Trapezoidal Rule |
|
|
|
BP |
AD |
|
|
DIFFERENTIAL EQUATIONS
Definitions, Notation
| EQUATIONS OF FIRST
ORDER AND FIRST DEGREE |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
DE 2 |
| M dx+ N dy =0 (exact) |
B |
A |
|
ABDP |
|
| Variables Separable:
S(x)*T(y)*dx + P(x)*Q(y)*dy = 0 |
|
|
|
ABDP |
|
| Linear Equation: dy+
(P(x)*y - Q(x))*dx = 0 |
|
|
|
ABDP |
|
| SECOND ORDER DIFFERENTIAL
EQUATIONS |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
DE 2 |
| Constant Coefficients |
|
|
|
ABDP |
|
| Symbols and Abbreviations |
|
|
|
AB |
|
| DIFFERENCE EQUATIONS |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
DE 2 |
| First
Order Linear Difference Equation |
|
|
|
B |
|
| Second
Order Linear Difference Equation |
|
|
|
B |
|
| z - transform |
|
|
|
B |
|
| NUMERICAL SOLUTIONS
OF ODE |
Clc 1 |
Clc 2 |
Clc 3 |
DE 1 |
DE 2 |
| Reduction of Differential
Equation Order |
|
|
|
ABP |
|
| Runge-Kutta Method |
|
|
|
A |
|
| Euler's Method |
|
|
|
ABP |
|
ENGINEERING MATHEMATICS
| TRANSFORM
METHODS |
Calc
1 |
Calc 2 |
Calc
3 |
DE
1 |
DE 2 |
| Fourier Series |
|
|
|
|
A |
| Fourier Transform |
|
|
|
|
A |
| Laplace Transforms |
|
|
|
BP |
A |
| z - Transforms |
|
|
|
|
|
| INTRODUCTION TO PDE |
Calc
1 |
Calc
2 |
Calc3 |
DE 1 |
DE 2 |
| Heat Equation |
|
|
|
|
A |
| Laplace's Equation |
|
|
|
|
A |
| Wave Equation |
|
|
|
|
A |
PROBABILITY AND STATISTlCS
All topics in this section are covered in
Probability
and Statistics for Engineers
SETS AND SET OPERATIONS
Set Operations, Venn
Diagrams, Product Sets
COUNTING SETS
Permutations and Combinations
PROBABILITY
Definitions, General Character
of Probability, Laws of Probability, Law of total probability, Law of compound
or joint probability, Complementary Probabilities, Conditional Probability
RANDOM VARIABLES
Probability Density and Distribution
Functions, Properties of Probability Density Functions,
STATISTICAL TREATMENT OF DATA
Frequency Distribution, Standard
Statistical Measures
STANDARD DISTRIBUTION FUNCTIONS
Binomial Distribution, Normal
Distribution Function, t-Distribution, Unit Normal Distribution, Dispersion,
Mean, Median, and Mode Values