StudyPath

MTH 222 Mathematical Methods I

ND2 levelSciences27 topics

MTH 222 covers 27 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. Complex numbers
  2. Complex conjugate and magnitude
  3. Polar form and Argand diagram
  4. Algebra of complex numbers
  5. Differential equations: order and degree
  6. Ordinary linear differential equations
  7. Solutions of differential equations
  8. Exact first-order differential equations
  9. Conditions for exactness
  10. Integrating factor
  11. Solving exact differential equations and integral curves
  12. Homogeneous and non-homogeneous linear differential equations
  13. First-order linear differential equations
  14. Applications of differential equations
  15. Plane and space vectors
  16. Scalar and vector products
  17. Scalar product of vectors
  18. Vector product of vectors
  19. Vector product as determinant
  20. Properties of scalar and vector products
  21. Cauchy-Schwarz inequality
  22. Angle between two vectors
  23. Pythagoras theorem from cosine rule
  24. Geometric addition of vectors
  25. Triangle side relations as vectors
  26. Vector product representation
  27. Perpendicularity and zero dot product

A sample from this course

One topic, as StudyPath teaches it.

Complex numbers

Complex numbers extend the real number system by introducing the imaginary unit, which allows us to handle square roots of negative numbers and solve equations that have no real roots. For the exam, you must master the form of a complex number, basic operations, conjugates, modulus, and simple equation solving because these are the foundations of nearly all questions on the topic.

What you get for MTH 222