Department of Mathematics Syllabus
This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.
ATTENTION:
Units/Lecture:
Search by ISBN on Amazon: 9780321644688
Prerequisites:
Suggested Schedule:
|
Lecture(s) |
Sections |
Comments/Topics |
|
1 |
5.8-6.1 |
Antiderivative (and solutions of initial value ODE problems); Definite Integral |
|
2 |
6.1 |
Definite Integral / Examples |
|
3 |
6.2 |
Fundamental Theorem of Calculus |
|
4-5 |
6.3 |
Geometric application of integrals (heavy emphasis on examples). |
|
6 |
7.1 |
Substitution rule |
|
7 |
7.2 |
Integration by parts |
|
8 |
7.3 |
Partial Fractions |
|
9 |
7.4 |
Improper integrals |
|
10 |
7.5 |
Numerical integration; Mention tables of integrals (7.7) and software packages/online tools |
|
11 |
7.6 |
Taylor approximation;(Optional: accuracy of Taylor approximations) |
|
12 |
8.1 |
Solving first order differential equations |
|
13 |
8.2 |
Equilibria and stability |
|
14 |
online notes |
Biological models: examples of first order differential equations |
|
15 |
online notes |
Solving first-order linear non-autonomous differential equations using integrating factors. |
|
16 |
online notes or 8.3 |
Optional: Numerical methods for first order ODEs -Forward Euler method or Systems of autonomous ODEs |
|
17 |
9.1 |
Solving linear systems of equations (stress main concepts) |
|
18-19 |
9.2 |
Matrices |
|
20-22 |
9.3 |
Eigenvalues and eigenvectors; Examples (optional: Leslie matrices 9.2.5 and 9.3.3) |
|
23-24 |
9.4 |
Analytical geometry |
|
25-27 |
Use remaining lectures as buffer for material above or to cover optional material |
Additional Notes: