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SMA 2104: MATHEMATICS FOR SCIENCE
| Institution | Jomo Kenyatta University of Science and Technology |
| Course | Pure and Applied Mat... |
| Year | 1st Year |
| Semester | Unknown |
| Posted By | Mwalimu Evans Okoyo. |
| File Type | |
| Pages | 57 Pages |
| File Size | 2.44 MB |
| Views | 422 |
| Downloads | 0 |
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Description
This document provides an overview of the course content and references for SMA 2104: Mathematics for Science. It includes the following topics: 1. Algebra: surds, logarithms, indices, quadratic functions, permutations, combinations, series, and binomials. 2. Trigonometry: trigonometric functions, graphs, inverses, and formulae. 3. Statistics: data collection, measures of central tendency, measures of dispersion, and graphical and calculation methods. 4. Probability: classical, axiomatic approaches, compound events, conditional probability, tree diagrams, and binomial distribution. The document then provides an example lecture on algebra, covering numbers, surds.
Below is the document preview.
SMA 2104: Mathematics for Sciences - Course Outline
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This unit aims at providing a good foundation in mathematics for students who plans to do more specialized work in the university, especially in the Computing, Medicine, Engineering, etc.
3 Pages
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266.54 KB
SMA 2104: Mathematics for Sciences - Lesson 1 Quadratic equations
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Upon completing this topic, you should be able to: Solve quadratic equations by factoring Learning outcomes Solve quadratic equations using the method of extraction of roots Determine the nature of the solutions to a quadratic equation Understand the logic underlying the method of completing Solve a quadratic equation using the method of completing
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367.62 KB
SMA 2104: Mathematics for Sciences - Lesson 2 Algebra
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By the end of this topic you should be able to; Understand the laws of indices and their application in simplifying algebraic expressions. Define index, Establish the laws of indices, Solve simple problems using the laws of indices. Understand the theory of logarithms and surds and their applications in manipulating expressions. Define logarithm
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344.76 KB
SMA 2104: Mathematics for Sciences - Lesson 3 Sequences and series
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Upon completing this topic, you should be able to:
Differentiate between a series and a sequence, Use Sigma notation in representing a series, Understand the properties of arithmetic and geometric progressions, Define an Arithmetic progression (A.P.), Obtain the formula for nth term and the first n terms of an A.P, Define a geometric progression (G.P.)
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325.42 KB
SMA 2104: Mathematics for Sciences - Lesson 4 Factorisable polynomials
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Upon completing this topic, you should be able to factorise and solve polynomials of degree higher than 2
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277.4 KB
SMA 2104: Mathematics for Sciences - Lesson 5 Permutations and Combination
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Permutations and Combination
Permutations - This is defined as the number of different ways of arranging different objects in order.
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273.38 KB
SMA 2104: Mathematics for Sciences - Lesson 6 Binomial expansion
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Upon completing this topic you should be able to understand the binomial theorem and it’s application in the expansion of expressions and in approximations.
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282.79 KB
SMA 2104: Mathematics for Sciences - Lesson 7 Probability
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Upon completing this topic,you should be able to;- Apply the principles of probability to solve problems in real-world contexts. Understand and use the language of probability and to compute the probabilities of composite events using the basic rules of probability.
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SMA 2104: Mathematics for Sciences - Lesson 8 Statistics
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Upon completing this topic,you should be able to Collect, organize, and represent data, and be able to recognize and describe relationships. Apply the principles of statistics to solve problems in real world contexts. Demonstrate knowledge of statistical terms. Differentiate between the two branches of statistics. Identify types of data. Understand and use the basic measure of central tendency
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282.84 KB
SMA 2104: Mathematics for Sciences - Lesson 9 TRIGONOMETRY
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Upon completing this topic, you should be able to Define, manipulate and apply trigonometric functions. Define the basic trigonometric ratios, sine, cosine and tangent of an angle and derive the other trigonometric ratios; cosecant, secant and cotangent using the basic trigonometric ratios. Derive identities involving the trigonometric ratios
11 Pages
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635.34 KB