Departments › Automotive Technology › Module V › Engineering Mathematics II

Engineering Mathematics II

Automotive Technology · Level 6  ·  9 Chapters

Can I download Engineering Mathematics II notes as a PDF?

Yes. The notes download as a PDF too: every chapter has a Download PDF button above its notes. Sign in and click it. Each download comes from your plan's monthly allowance or from credits. To read before you sign in, the first topic of every chapter opens to anyone, and a Profplanet plan opens the remaining topics.

Chapters

1
Apply Calculus
30 topics
No Notes Yet
2
Apply Power Series
4 topics
No Notes Yet
3
Apply matrices II
9 topics
No Notes Yet
4
Apply multiple Integrals
4 topics
No Notes Yet
5
Solve Ordinary differential Equations
7 topics
No Notes Yet
6
Solve Partial differential equations
4 topics
No Notes Yet
7
Apply Fourier Series
3 topics
No Notes Yet
8
Apply Laplace transforms
15 topics
No Notes Yet
9
Apply Numerical methods
9 topics
No Notes Yet
What Engineering Mathematics II covers: 36 main topics in 8 chapters

1. Apply Calculus

  1. 1.1 Derivates of functions Introduction to calculus Functional notation The gradient of a curve
  2. 1.2 Differentiation from first principles general rule
  3. 1.3 Differentiation of parametric equations
  4. 1.4 Differentiation of implicit functions
  5. 1.5 Logarithmic differentiation
  6. 1.6 Integration using algebraic substitutions
  7. 1.7 Applications of integration
  8. 1.8 Further worked problems on integration using algebraic substitutions
  9. 1.9 Integration using trigonometric substitutions
  10. 1.10 Integration using partial
  11. 1.11 Integration by parts

2. Apply Power Series

  1. 2.1 Meaning of the term power series
  2. 2.2 Taylor’s theorem
  3. 2.3 Deduction of Maclaurin’s theorem to obtain power series
  4. 2.4 Application of Taylor’s theorem and Maclaurin’s theorems in numerical work

4. Apply multiple Integrals

  1. 4.1 Definition of double and triple integrals
  2. 4.2 Apply double and triple integrals in polar, cylindrical and spherical coordinates.
  3. 4.3 Use of triple integrals in solving problems.

5. Solve Ordinary differential Equations

  1. 5.1 Formation and solution of 1st and 2nd order differential equations 5.2 1st order variable separable 5.2.1 1st order homogeneous 5.2.2 1st order linear
  2. 5.3 Order by the determination of coefficients.
  3. 5.4 D-operator method
  4. 5.5 Applications of differential equations

6. Solve Partial differential equations

  1. 6.1 Definition of partial derivatives
  2. 6.2 Derivation of a function of two or more variables
  3. 6.3 Application of partial derivatives
  4. 6.4 Stationary points of functions of two variables.

7. Apply Fourier Series

  1. 7.1 Definition of Fourier series for a function
  2. 7.2 Determination of Fourier series for period 2π to T
  3. 7.3 Determination of the Fourier series for odd and even functions and half-range series

8. Apply Laplace transforms

  1. 8.1 Definition of Laplace transform of a functions
  2. 8.2 Determination of inverse Laplace transforms of partial fractions and a list of standards
  3. 8.3 Differential equations and simultaneous equations with constant coefficients and given initial conditions

9. Apply Numerical methods

  1. 9.1 Define numerical methods
  2. 9.2 Definition of interpolation and extrapolation
  3. 9.3 Application of interpolation and extrapolation
  4. 9.4 Harmonic analysis using numerical methods

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

Other units in Module V