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MATH 165C: Scientific Statistics
3.00 Credits
Vanguard University of Southern California
Prerequisite: Two years of high school algebra. This course is designed to cover areas of statistics relevant to experimental scientific investigation including sampling theory, basic variance statistics, linear, non-linear and multiple regressions with a comparison of measures of best fit, and basic statistical hypothesis testing. Advanced topics of curve fitting via parameter optimization in three or more dimensions, weighted curve fitting, ANOVA, and factor analysis will be introduced. This course will use Microsoft Excel exclusively. Course content will meet the basic needs of both science and mathematics students.
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MATH 170: Pre-calculus
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 117 or pass the Mathematics Readiness Examination at level 3 or consent of the instructor. Equations and inequalities; systems of linear equations: functions, graphs, exponential, logarithmic, and trigonometric functions and their limits; polynomial and rational functions; analytic geometry.
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MATH 170 - Pre-calculus
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MATH 180: Calculus I
3.00 - 4.00 Credits
Vanguard University of Southern California
Prerequisite: Pass the Mathematics Readiness Examination at level 4, or MATH 170, or consent of the instructor. Graphing of functions, logarithmic functions and their inverses; limit of functions and derivatives; rules of differentiation and their application; definite and indefinite integrals.
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MATH 180 - Calculus I
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MATH 181: Calculus II
3.00 - 4.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 180 or consent of the instructor. Application of integration for volumes, work and areas; advanced techniques of integration; advanced application of integration; first order differential equations; parametric equations and polar coordinates; infinite sequences and series.
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MATH 181 - Calculus II
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MATH 207: Programming in Visual Basic
3.00 Credits
Vanguard University of Southern California
Prerequisite: Sophomore standing. Open to all majors, this course offers the basic concepts of programming, problem solving, programming logic, as well as the design techniques of an event-driven language. Special fee for computer lab use.
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MATH 207 - Programming in Visual Basic
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MATH 208: Programming in "C++" Language
3.00 Credits
Vanguard University of Southern California
Prerequisite: Sophomore standing. This course is designed for mathematics and mathematics education majors. It offers an introduction to computer programming in a language that is the most current procedural language, emphasizing problem solving, flow charting and debugging. Special fee for computer lab use.
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MATH 208 - Programming in "C++" Language
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MATH 210: Technical Writing
3.00 Credits
Vanguard University of Southern California
Prerequisite: ENGL 120C. Expository writing on technical subjects dealt with in industry, science, and education. Long and short forms including reports, proposals, journal articles, and research papers.
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MATH 210 - Technical Writing
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MATH 265C: Introduction to Statistical Methods
3.00 Credits
Vanguard University of Southern California
A course in basic statistical concepts and methods of collecting, summarizing, presenting, and interpreting data in the behavioral sciences, including descriptive statistics (use of graphs and charts), normal distribution curve, measures of central tendency, deviation and dispersion, hypothesis testing, statistical fallacies, correlation, and topics in probability. Students majoring in Accounting, Anthropology, Psychology, Social Science, or Sociology must take MATH 265C/ SOCS 265C to fulfill the core curriculum requirement in mathematics. Students majoring in Mathematics are exempt from taking the core curriculum requirement in mathematics.
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MATH 265C - Introduction to Statistical Methods
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MATH 281: Multivariable Calculus
3.00 - 4.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 181 or consent of the instructor. Vectors and geometry of space including cylindrical and spherical coordinates; vector functions and space curves with vector calculus, partial derivatives with directional derivatives and applications; multiple integrals with various coordinate systems with application; and second-order differential equations.
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MATH 281 - Multivariable Calculus
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MATH 285: Introduction to Advanced Mathematics
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 180 or consent of the instructor. A course for both mathematics and mathematics education majors. Covers the fundamentals of axiomatic proof theory including laws of inference, set theory, induction, cardinality, relations and functions.
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MATH 285 - Introduction to Advanced Mathematics
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