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Engineering Mathematics II

SWE 121 · Semester 2

5 credits · 40 learning units

Lessons

Start with the foundations, study the topics, then practise and complete an independent project. These are learning plans; full tutorials and interactive checks are still being authored.

Subunit titles retain the curriculum’s original language.

Shared learning sequence · NWS 121 / SWE 121. Combines complementary topics from both curricula.

Start here

  1. Lesson 1Sequences, convergence and transform notation

Curriculum topics

  1. Lesson 2Introduction to Sequences
  2. Lesson 3Sequences and Limits
  3. Lesson 4Convergence and Divergence of Sequences
  4. Lesson 5Monotonic and Bounded Sequences
  5. Lesson 6Fibonacci, Arithmetic, and Geometric Sequences
  6. Lesson 7Applications
  7. Lesson 8Introduction to Series
  8. Lesson 9Types of Series Telescoping, Harmonic, Arithmetic, and Geometric Series
  9. Lesson 10Convergence and Divergence Tests
  10. Lesson 11Power Series and Taylor Series
  11. Lesson 12Applications
  12. Lesson 13Introduction to Fourier Series
  13. Lesson 14Even and Odd Functions and Half-Range Fourier Series
  14. Lesson 15Fourier Series for Periodic Functions Over Any Range
  15. Lesson 16The Complex and Exponential Form of a Fourier Series
  16. Lesson 17Applications
  17. Lesson 18Definition and Linearity Properties of the Laplace Transform
  18. Lesson 19Inverse Laplace Transform
  19. Lesson 20Solving Differential Equations with Laplace Transforms
  20. Lesson 21Applications
  21. Lesson 22Continuous Fourier Transform
  22. Lesson 23Discrete Fourier Transform (DFT)
  23. Lesson 24Fast Fourier Transform (FFT)
  24. Lesson 25First- and Second-Order Partial Derivatives
  25. Lesson 26Schwarz's Theorem
  26. Lesson 27Composite Functions
  27. Lesson 28Differential Forms
  28. Lesson 29Vector Operators
  29. Lesson 30Numerical functions of a real variable
  30. Lesson 31Several real-variable functions
  31. Lesson 32Taylor series and limits
  32. Lesson 33Integration (simple and multiple)
  33. Lesson 34Differential equations
  34. Lesson 35Combinatory analysis
  35. Lesson 36Calculation of probabilities
  36. Lesson 37Random variables
  37. Lesson 38Probability laws

Put it into practice

  1. Lesson 39Guided laboratory and troubleshooting

Work independently

  1. Lesson 40Independent project and review
Curriculum source

HND CURRICULUM-NETWORK AND SECURITY.pdf · NWS 121 · Course table: p. 9 · Outline pages: 69, 70, 71, 72, 73

HND Computer Engineering Software Engineering Curriculum.pdf · SWE 121 · Course table: p. 9 · Outline pages: 18, 19