| 1 |
The relevant unit in the course book |
Introductions, overview of the course, information on teaching methods, definition of the integral, formulas |
Explanation, problem-solving, practical application |
| 2 |
The relevant unit in the course book |
Integration methods, substitution method, integration by parts, and applications of integration using the method of reducing to simple fractions |
Explanation, problem-solving, practical application |
| 3 |
The relevant unit in the course book |
Trigonometric integrals, trigonometric transformations, Riemann sums, properties of the sigma (sum) symbol, fundamental theorem of definite integrals |
Explanation, problem-solving, practical application |
| 4 |
The relevant unit in the course book |
Sum Notation and Limits of Finite Sums, Definite Integral, Fundamental Theorem of Calculus, Basic Integration Formulas for Definite Integrals |
Explanation, problem-solving, practical application |
| 5 |
The relevant unit in the course book |
Variable Substitution and Area Between Curves, Lengths of Curves in the Plane |
Explanation, problem-solving, practical application |
| 6 |
The relevant unit in the course book |
Finding Volume by Slicing and Rotation Around an Axis, Finding Volume Using Cylindrical Shells, Areas of Surfaces of Revolution |
Explanation, problem-solving, practical application |
| 7 |
The relevant unit in the course book |
Generalized Integrals |
Explanation, problem-solving, practical application |
| 8 |
The relevant unit in the course book |
Multivariable Functions |
Explanation, problem-solving, practical application |
| 9 |
The relevant unit in the course book |
Limits and Continuity in Higher Dimensions |
Explanation, problem-solving, practical application |
| 10 |
- |
MID-TERM EXAM |
- |
| 11 |
The relevant unit in the course book |
Partial Derivatives, Chain Rule |
Explanation, problem-solving, practical application |
| 12 |
The relevant unit in the course book |
Partial Derivatives, Chain Rule |
Explanation, problem-solving, practical application |
| 13 |
The relevant unit in the course book |
Directional Derivatives and Gradient Vectors, Tangent Planes and Differentials |
Explanation, problem-solving, practical application |
| 14 |
The relevant unit in the course book |
Extremum Values and Saddle Points, Second Derivative Test for Extremum Values |
Explanation, problem-solving, practical application |
| 15 |
The relevant unit in the course book |
General Review |
Explanation, problem-solving, practical application |
| 16 |
- |
FINAL EXAM |
- |
| 17 |
- |
FINAL EXAM |
- |