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Math Department, Mission College, Santa Clara, California

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Mission College Math Department
Short Course Descriptions
For longer descriptions go to the individual course outline.


Math 1	Precalculus Algebra				3 units
Credit / No Credit option

This course is designed to adequately prepare students for Math 3A
Calculus sequence.  Its contents include real and complex number 
systems, polynomials, algebraic fractions, exponents and radicals, 
linear and quadratic equations, simultaneous equations, matrices and determinants, inequalities, 
functions, theory of equations, exponential and logarithmic equations, 
sequence and series, induction and the binomial theorem.

Math 2	Precalculus Algebra and Trigonometry		5 units
Credit / No Credit option

This is an intensive course covering those topics traditionally found
in the separate courses of precalculus algebra (Math 1) and
trigonometry (Math D).  This course is designed for the honor
student in mathematics who desires to fulfill the requirements of
Math D and Math 1 in one semester.  It prepares the student for the
Calculus 3 sequence.

Math 3A	Analytic Geometry and Calculus I		5 units
Credit / No Credit option

This is the first part of the three semester calculus sequence for math, physics
 and engineering majors.  The student will study and demonstrate knowledge and
understanding of functions, limits, continuity, differentiation and
integration, maxima, minima, and other applications  and the
relationship between calculus and analytic geometry for polynomial and
 transcendental functions 

Math 3B	Analytic Geometry and Calculus II		5 units
Credit / No Credit option

This is the second part of the three semester calculus sequence for 
math, physics and engineering majors.  The student will study and 
demonstrate knowledge and understanding of infinite series, vectors 
in the plane, parametric equations, conic sections, polar coordinates, 
integration techniques including inverse trigonometric and hyperbolic 
functions, and applications to area, volume and work.

Math 4A	Intermediate Calculus				4 units
Credit/No Credit Option

This is the third part of the three semester calculus sequence for 
math, physics and engineering majors.  The student will study and 
demonstrate knowledge and understanding of vectors in two and 
three dimensional space,vector-valued functions, calculus of 
functions for several variables, differentials, gradients, Lagrange 
Multipliers, multiple integrals, line integrals, and an introduction to 
Green's Theorem, Divergence Theorem, and Stokes Theorem.

Math 4B	Differential Equations				4 units
Credit/No Credit Option

The student will study and demonstrate knowledge and 
understanding of ordinary differential equations with emphasis on 
linear equations.  Many standard methods are examined including 
Laplace Transforms, Fourier Series, power series and numerical 
solutions.  Emphasis will be placed on applications.

Math 4C	Linear Algebra					4 units
Credit/No Credit Option

The student will study and demonstrate knowledge and 
understanding of basic linear algebra and its applications.  Topics will 
include systems of linear equations and Gaussian elimination, 
determinants, matrices, vector spaces, transformations, eigenvalues 
and eigenvectors.

Math 8	Finite Mathematics					3 units
Credit/No Credit Option

The student will study and demonstrate knowledge and 
understanding of linear equations, matrix systems of equations and 
inequalities, linear programming, set theory and mathematics of 
finance.  Probability and statistics will be introduced.  Particular 
emphasis will be placed on applications.

Math 10	Elementary Statistics				3 units
Credit / No Credit option

The student will study and demonstrate knowledge and 
understanding of descriptive and inferential statistics including data 
analysis, correlation and linear regression, probability, probability 
distributions and assorted hypothesis testing.  Particular emphasis 
will be placed on applications.  Current statistical computer packages 
will be used.

Math 12	Calculus for Business Majors			4 units
Credit / No Credit option

The student will study and demonstrate knowledge and 
understanding of simple techniques of differential and integral 
calculus and their most common applications.  This course handles 
the  limit concept  intuitively and is suitable for business or social 
science majors.  This course is not equivalent to Math 3A. 

Math 14	Math for Elementary School Teachers (Number Systems)			3 units
Credit / No Credit option

This course provides a foundation in numeration systems and number theory,
 particularly with respect to counting numbers, integers, rational numbers and real
 numbers.  It emphasizes patterns and relationships among these numbers, present
 mathematical models and real world applications of them and provides different
 algorithms for estimating and finding exact answers when adding, subtracting,
 multiplying and dividing.  Where appropriate there is an emphasis on problem
 solving, critical thinking, and communication.  This course is designed for
 students who intend to become elementary school teachers.

Math 19	Discrete Mathematics				4 units
Credit / No Credit option

The student will study and demonstrate knowledge an 
understanding of the discrete mathematics appropriate for computer 
applications.  Topics may include graphs, sets, logic, mathematical 
induction, functions and relations, sequences and series, matrices, 
combinatorics, Boolean algebra and algebraic structures such as 
groups, rings and fields.  Computer implementations of these 
mathematical techniques will be incorporated throughout the course.

Math 900	Arithmetic Functions	Non Associate Degree Course	3 units
Credit/No Credit Option

This is a course in basic computational skills and is a prerequisite for 
all other math courses.  Course includes review and practice in 
fundamental arithmetic skills including whole numbers, fractions and 
decimals, ratio, proportion and percent, signed numbers, simple 
equations, problem analysis, and practical applications.  This course 
provides a good background for students who wish to take 
elementary algebra.

Math 901	Arithmetic Review	Non Associate Degree Course	1 unit
Credit/No Credit Option

The student will review and practice fundamental arithmetic skills, 
including computations with whole numbers, fractions and decimals, 
and applications of ratio, proportion and percent to practical 
problems.  This course is not a substitute for Math 900.  

Math 902	Prealgebra	Non Associate Degree Course		3 units
Credit/No Credit Option

This course is designed for students who have a solid foundation in 
arithmetic skills but need to develop those skills further before 
taking elementary algebra.  This course is intended to serve as a 
bridge between arithmetic functions and elementary algebra.  Topics 
include a quick review and practice in fundamental arithmetic skills, 
some basic operations involving polynomials, solving and graphing 
linear equations, and some practical applications.
Credit/No Credit Option

Math 903	Elementary Algebra	Non Associate Degree Course	4 units
Credit/No Credit Option

The student will study and demonstrate knowledge and 
understanding of the basic operations (addition, subtraction, 
multiplication and division) involving real numbers and polynomials.  
Other topics include first degree equations and 
inequalities, simultaneous systems of linear equations, factorization, solving 
quadratic  equations by factoring, simplifying rational expressions, graphing 
and applications.  The course is designed for  the 
student who has had no previous instruction in algebra, or for the 
student who needs a review of elementary algebra.

Math 904	Preparation for Intermediate Algebra	Non Associate Degree Course 1.5 units
Credit/No Credit Only

The student will prepare for Intermediate Algebra by an accelerated 
review of all the material from Elementary Algebra.  The course will 
concentrate on those areas of Algebra which require additional work, 
and is suitable for students who once passed an Elementary Algebra 
course.

Math 950	Selected Topics from Intermediate Algebra, Trigonometry 
and Statistics			Non Associate Degree Course		3 units
Credit/No Credit Only

Students in this course will study a selection of topics from 
Intermediate Algebra, Trigonometry and Statistics.  Intermediate 
algebra topics will be chosen to review major concepts and to 
prepare for applications to the later topics.  Trigonometry and 
statistics topics will be chosen to give an appropriate introduction to 
each of the areas and their applications in industry. Note: this course 
does not satisfy the mathematics requirement for an associate 
degree.

Math B	Plane Geometry					4 units
Credit / No Credit option

This course introduces geometric and deductive mathematical 
reasoning in preparation for precalculus.  The student will study and 
demonstrate knowledge and understanding of the basic concepts of 
plane geometry, emphasizing deductive reasoning and including 
lines, planes, angles, triangles and spheres, congruence, similarity, 
parallelism and perpendicularity, length, areas and volumes.  This 
course is designed for the student who has had no previous 
instruction in geometry or who has had difficulty with geometry. 

Math C	Intermediate Algebra				4 units
Credit / No Credit option

The student will study and demonstrate knowledge of complex fractions, 
rational equations, quadratic equations, rational exponents and radicals,
complex numbers, conic sections, linear systems with three unknowns, 
sequences and series, and applied problems. 

Math C-P	Preparation for Trigonometry or Business Math	2 
units
Credit / No Credit only

The student will prepare for the mathematics required to succeed in 
Trigonometry  (Math D), Finite Math  (Math 8), Statistics (Math 10), 
or Business Calculus (Math 12).  There will be an accelerated review 
of all the material from Intermediate Algebra, concentrating on areas 
of common difficulty.  The course is suitable for students who once 
passed an Intermediate Algebra course.

Math D	Trigonometry					3 units
Credit / No Credit option

The student will study and demonstrate knowledge and 
understanding of trigonometric functions including applications to 
triangles, circular functions, radian measure, graphs, polar 
coordinates, trigonometric identities, inverse trigonometric functions, 
vectors, and complex numbers. 

Math G	Mathematics for the Liberal Arts Student	4 units
Credit / No Credit option

This course is intended to fulfill the general education requirement 
in mathematics.  It introduces the student to creative mathematical 
thinking using fascinating examples, topics and problem solving.  
Range of topics may include applications of set theory, functions and 
graphs, linear programming, infinity, different geometries and 
topology, symmetry, calculus, logic, probability and statistics, history 
of math and math in other cultures.  There is an emphasis on general 
problem solving techniques and how to communicate mathematics.  
It is intended to provide a sample of current mathematical 
techniques for the non-specialist.