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Engineering Mathematics I

Electrical Engineering · Level 6  ·  10 Chapters

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Chapters

1
Apply number systems
52 topics
No Notes Yet
2
Apply algebra
27 topics
No Notes Yet
3
Apply Trigonometry and Hyperbolic functions
32 topics
No Notes Yet
4
Perform coordinates geometry
21 topics
No Notes Yet
5
Carry out mensuration
14 topics
No Notes Yet
6
Carry out binomial expansions
14 topics
No Notes Yet
7
Apply Statistics and probability
11 topics
No Notes Yet
8
Apply matrices I
13 topics
No Notes Yet
9
Apply Vector Theory
8 topics
No Notes Yet
10
Apply Complex Numbers
16 topics
No Notes Yet
What Engineering Mathematics I covers: 62 main topics in 10 chapters

1. Apply number systems

  1. 1.1 Types of numbers
  2. 1.2 Percentages
  3. 1.3 Factors
  4. 1.4 Divisibility Test
  5. 1.5 LCM
  6. 1.6 Integers
  7. 1.7 Fractions
  8. 1.8 Decimals
  9. 1.9 Arithmetic operation
  10. 1.10 Squares and square roots

2. Apply algebra

  1. 2.1 Indices and logarithms
  2. 2.2 Algebraic expressions
  3. 2.3 Simultaneous Equation
  4. 2.4 Quadratic expressions and equations

3. Apply Trigonometry and Hyperbolic functions

  1. 3.1 Importance of trigonometry in engineering.
  2. 3.2 Trigonometry in Triangles
  3. 3.3 Trigonometric Ratios and Functions
  4. 3.4 Trigonometric Identities
  5. 3.5 Solving Trigonometric Equations
  6. 3.6 Introduction to Hyperbolic Functions
  7. 3.7 Hyperbolic Identities
  8. 3.8 Solving Hyperbolic Equations

4. Perform coordinates geometry

  1. 4.1 Polar equations
  2. 4.2 Graphs of polar equations
  3. 4.3 Conversion of polar equation
  4. 4.4 Normal and tangents

5. Carry out mensuration

  1. 5.1 Units and symbols of measurement
  2. 5.2 Imperial and metric units
  3. 1.2 Perimeter
  4. 1.3 Area
  5. 1.4 Volume
  6. 1.5 Irregular shapes

6. Carry out binomial expansions

  1. 6.1 Basic concepts of binomial theorem
  2. 6.2 Binomial Expansion
  3. 6.3 Applications of Binomial Expansion
  4. 6.4 Engineering Applications

7. Apply Statistics and probability

  1. 8.1 Representation of data; Line graph, bar graph, Pie chart, Histogram, Frequency Polygon, Cumulative frequency curve (ogive)
  2. 8.2 Measures of central tendency mean, mode and median for grouped and ungrouped data
  3. 8.3 Measures of dispersion
  4. 8.4 Definition of probability
  5. 8.5 Laws of probability
  6. 8.6 Mean, variance and SD of probability distributions

8. Apply matrices I

  1. 9.1 Matrix
  2. 9.2 Order of a matrix
  3. 9.3 Square matrix.
  4. 9.4 Compatibility in addition and
  5. 9.5 Multiplication of matrices
  6. 9.6 Multiplication of a matrix by a scalar Matrix multiplication
  7. 9.8 Determinant of a 2 𝑥 2 matrix
  8. 9.7 Identity matrix
  9. 9.9 Inverse of a 2 𝑥 2 matrix and
  10. 9.10 Singular matrix
  11. 9.11 Solutions of simultaneous equations in two unknowns by

9. Apply Vector Theory

  1. 9.1 Vectors and scalar in two and three dimensions
  2. 9.2 Position vectors
  3. 9.3 Resolution of vectors
  4. 9.4 Scalar and vector product
  5. 9.5 Gradient,
  6. 9.6 Curl
  7. 9.7 Divergence

10. Apply Complex Numbers

  1. 10.1 Complex geometry
  2. 10.2 Operations

Revise this unit

Exam-style questions Written to CDACC standard, with answers Test yourself Multiple-choice, one at a time Practise questions Quick recall — check you know the facts
3 more for this unit
Oral exam preparation What the assessor asks, and how to answer out loud Worked calculations Step-by-step maths with the common mistakes Quick cards Myth busters, skill tips and scenarios

Beyond the syllabus

Decision simulator On site, what would you do? Workplace scenarios Real site situations — what would you do? Turn this into income Where this skill earns — what to charge, how to find clients

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