StudyPath

MTH 311 Advanced Algebra

HND1 levelComputing & ICT23 topics

MTH 311 covers 23 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Indices and logarithms
  2. Sets and Venn diagrams
  3. Matrices and determinants
  4. Binomial theorem
  5. Partial fractions
  6. Complex numbers
  7. Sequences and series
  8. Permutations and combinations
  9. Hyperbolic functions
  10. Exponential and logarithmic functions
  11. Power series
  12. Taylor and Maclaurin series
  13. Convergence and divergence of series
  14. L'Hospital's rule
  15. Mathematical induction
  16. Arithmetic and geometric progressions
  17. Matrices and matrix operations
  18. Simultaneous equations using matrices
  19. Eigenvalues and eigenvectors
  20. Vector algebra
  21. Vector calculus theorems
  22. Complex numbers and Argand diagram
  23. De Moivre's theorem

A sample from this course

One topic, as StudyPath teaches it.

Indices and logarithms

Indices and logarithms are inverse ideas used to represent repeated multiplication and to solve equations involving powers. For the exam, you must master the laws of indices, the laws of logarithms, change of base, and the connection between exponential and logarithmic forms because these rules simplify expressions and make many physics and mathematics calculations possible.

What you get for MTH 311