STATE UNIVERSITY OF NEW YORK
COLLEGE OF TECHNOLOGY
CANTON, NY
COURSE OUTLINE
MATH 136 - TECHNICAL MATH II
Prepared by: Mary Gfeller
SCHOOL OF LIBERAL ARTS & SUPPORT SERVICES
MATHEMATICS DEPARTMENT
FEBRUARY 2006
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Course Outline of Technical Math l - Final Exam | MATH 135, Exams of Mathematics
Material Type: Exam; Class: TECHNICAL MATH I; Subject: Mathematics; University: SUNY College of Technology at Canton; Term: Fall 2006;
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STATE UNIVERSITY OF NEW YORK
COLLEGE OF TECHNOLOGY
CANTON, NY
COURSE OUTLINE
MATH 136 - TECHNICAL MATH II
Prepared by: Mary Gfeller SCHOOL OF LIBERAL ARTS & SUPPORT SERVICES MATHEMATICS DEPARTMENT FEBRUARY 2006
MATH 136
Technical Math II A. TITLE: Technical Math II B. COURSE NUMBER: MATH 136 C. CREDIT HOURS: 4 D. COURSE LENGTH: 15 weeks E. SEMESTERS OFFERED: Fall and Spring F. HOURS OF LECUTRE, LABORATORY, RECITATION, TUTORIAL, ACTIVITY: Four hours lecture per week. G. CATALOGUE DESCRIPTION: This course is the second of a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics include: Review of the graphs of the sine and cosine function, review of complex numbers and their applications, exponents and radicals, exponential and logarithmic functions, ratio, proportion and variation, oblique triangles, inequalities, introduction to statistics and an intuitive approach to calculus. H. PRE-REQUISITES/CO-REQUISITES: Technical Math I (MATH 135) I. GOALS (STUDENT LEARNING OUTCOMES): see attached. J. TEXTS: Basic Technical Mathematics (8/e) by Allyn J. Washington bundled with MyMathLab, Addison-Wesley, 2001. ISBN: 0321383125. Student Solution Manual. ISBN: 0-201-38569- K. REFERENCES: Additional Instructor Materials: Instructor’s Solution Manual. ISBN: 0-201-38570- Test Gen-Eq/QuizMaster-Eq Duel Platform CD-ROM. ISBN:0-201-38575- L. EQUIPMENT: Laptop Computer, Graphing Calculator (TI-84 Plus Silver) M. GRADING METHOD: A-F Each instructor should decide on the weight of the various components of his/her own course. -- Quizzes, Hourly Exams, Homework, Class work & Projects -- Final Exam N. TOPICAL OUTINE: see attached sheet O. LABORATORY OUTLINE:
- Perform basic operations with radicals and express answers in simplest form
- Solve equations with radicals STUDENT LEARNING OUTCOMES (continued) MATH 136 TECHNICAL MATH II V. Complex Numbers
- Express a number in terms of a + bj form
- Find the conjugate of a complex number
- Perform operations algebraically and graphically with complex numbers
- Express a complex number in polar form
- Use DeMoivre’s Theorem to find a root VI. Exponential and Logarithmic Functions
- Sketch the graphs of exponential and logarithmic functions
- Express an exponential equation in logarithmic form (and vice versa)
- Solve exponential and logarithmic equations
- Use properties of logarithms to expand or condense expressions
- Find common and natural logarithms using a calculator
- Find antilogarithms using a calculator
- Solve exponential and logarithmic equations by using properties and by using a calculator
- Solve application problems using exponential and logarithmic equations
- Plot graphs of functions on log and semi-log paper VII. Statistics
- Using technology, produce graphical displays including a frequency distribution
- Find measures of central tendency (mean, median, mode)
- Find standard deviation (population and sample)
- Find a z-score given the x-value of a normal distribution (and vice versa)
- Find the area under a normal curve in terms of probability
- Solve problems involving normal distributions
- Find the standard error of the mean and the standard error of the standard deviations
- Using technology, plot a control chart
- Find the central line, UCL, and LCL of a control chart given a normal distribution
- Using technology, plot a linear regression line
STUDENT LEARNING OUTCOMES (continued) MATH 136 TECHNICAL MATH II VIII. Intuitive Approach to Calculus (Optional)
- Find the limit of algebraic functions
- Find the average value of a function
- Find the average rate of change
- Find the instantaneous rate of change
- Find the area under a curve
- Find the root mean square of a function
TOPICAL OUTLINE (continued) MATH 136 TECHNICAL MATH II VI. Exponential and Logarithmic Functions A. Exponential Functions B. The Logarithm C. Properties of Logarithms D. Common Logarithms E. Natural Logarithms F. Solving Exponential Equations G. Solving Logarithmic Equations H. Graphing on Log and Semi-log Paper VII. Statistics A. Graphical Presentation of Data B. Measures of Central Tendency C. Measure of Dispersion D. Normal Distribution E. Standard Error F. Fitting Curves to Data G. Statistical Process Control VIII. Intuitive Approach to Calculus (Optional) A. Limits B. Average Value of Function C. Average Rate of Change D. Area Under a Curve E. Root Mean Square of a Function