MATH 107 - Technical Mathematics for the Information Age
- Prerequisite: "C" or higher in MATH 25 OR placement in MATH 103/107
A general survey of technical mathematics, with emphasis on the applications of mathematics to electronics, computers, and networking. Topics include: numbering systems for computers, Boolean algebra and logic gates for digital circuits, linear systems in three or more variables for DC circuits, trigonometry for AC circuits, exponential and logarithmic functions for AC circuits, rectangular and polar form of complex numbers for LRC circuits.
Contact: 4 hours lecture per week
Student Learning Outcomes
Upon successful completion of MATH 107, the student will be able to:
- Represent base ten integers and decimal fractions as binary, octal, and hexadecimal numbers
- Represent signed integers by 8-bit and 16-bit 2's complement numbers
- Represent decimal numbers by binary codes, including the 8421, 4221, 5421, XS-3 codes, and Gray codes
- Use truth tables and Boolean algebra to represent the actions of the logic gates AND, OR, NOT, NAND, NOR, XOR, and XNOR
- Determine the maxterm and minterm expressions of a digital circuit from its truth table (perhaps including don't cares"") and simplification of the expressions via Karnaugh maps
- Represent digital circuit logic diagrams by AND-OR logic", OR-AND logic, NAND logic, and NOR logic, including using DeMorgan's Laws to convert logic.
- Solve linear systems in three unknowns and four unknowns by either substitution, addition, including using trigonometry to convert the rectangular and polar forms of complex numbers
- Use the rectangular and polar forms of complex numbers to perform the operations of adding, subtracting, multiplying, dividing, raising to a power, and taking a root
- Solve practical application problems, which may include linear systems in more than four unknowns, Kirchoff's Laws, reciprocal trigonometric ratios (secant, cosecant, and cotangent), transformations of the sine and cosine functions (phase shifting, changing the period, or changing the amplitude), or using complex numbers to model LRC circuits, depending on the instructor.
In general, the course will develop the student's quantitative-analytical reasoning abilities and will show the student how mathematics can be applied to electronics, computers," and networking.
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