Math 149 - Calculus I
Class Journal
Textbook: Calculus by Larson, Hostetler, Edwards, Eighth Edition
| Date | Topics covered |
| Mon 1/18 | Examples of functions given by a graph, a table, and in words; dependent and independent variables; linear functions and their graphs |
| Wed 1/20 | Linear functions (writing linear equations, their graphs), horizontal, vertical, parallel, perpendicular lines, Domain of a function using sign chart for solving inequalities |
| Fri 1/22 | Lab session - DERIVE, Quiz 1 |
| Mon 1/25 | Evaluating functions, composition of functions, even-odd functions, implicit functions, piece-wise defined functions, their graphs and domains, absolute value function, introduction to limit |
| Wed 1/27 | A brief refresher on trigonometric functions (GO BACK TO YOUR PRECALCULUS BOOKs/NOTES and MAKE SURE YOU ARE COMFORTABLE WITH THESE), limit of a function, left limit, right limit |
| Fri 1/29 | Quiz 2, Techniques for evaluating limits |
| Mon 2/1 | More techniques for evaluating limits, continuity |
| Wed 2/3 | Intermediate value theorem, infinite limits and asymptotes |
| Fri 2/5 | School closed due to heavy snow |
| Mon 2/8 | Exam 1 |
| Wed 2/10 | Approximating tangent lines by secant lines, the derivative of a function: formal definition with limits |
| Fri 2/12 | Rules for differentiation (sum, difference, constant, constant multiple, product, quotient). |
| Mon 2/15 | Non-differentiable functions, meaning of the slope (derivative) of the function: rate of change |
| Wed 2/17 | Interpretation of derivatives, position, velocity, acceleration. |
| Fri 2/19 | Chain Rule, Quiz 3 |
| Mon 2/22 | Implicit differentiation, related rates problems |
| Wed 2/24 | More examples of related rates problems |
| Fri 2/26 | Quiz 4, global (absolute) and local (relative) extrema of functions, critical numbers, finding global max and min of continuous functions on closed intervals |
| Mon 3/1 | More examples on max/min, Rolle's Theorem, The Theorem of the Mean Policeman |
| Wed 3/3 | Mean value theorem, some review for the exam |
| Fri 3/5 |
Midterm Exam |
| Mon 3/15 | Finding where a function is increasing/decreasing and its local extrema. (First Derivative Test) |
| Wed 3/17 | class did not meet ( instructor was sick) |
| Fri 3/19 | Finding where a function is concave up/concave down and the second derivative test |
| Mon 3/22 | Limits at infinity - horizontal asymptotes |
| Wed 3/24 | Curve sketching |
| Fri 3/26 | Quiz 5, Optimization problems |
| Mon 3/29 | Newton's Method |
| Wed 3/31 | Differentials |
| Fri 4/2 | Exam 3 |
| Mon 4/5 | Antiderivatives, basic integrals |
| Wed 4/7 | Sigma notation (summation) and some formulas, finding upper and lower bounds for the area under y=x^2 from x=0 to x=2. |
| Fri 4/9 | Quiz 6, Riemann Sums |
| Mon 4/12 | Riemann sums, Definite integrals, their relation to area and properties |
| Wed 4/14 | Fundamental Theorem of Calculus I , Average value of a function |
| Fri 4/16 | Quiz 7, Integral of an absolute values, Examples, Fundamental Theorem of Calculus II , examples |
| Mon 4/19 | Integration by substitution |
| Wed 4/21 | More examples on substitution, integrals of even and odd functions on intervals of the form [-a,a] |
| Fri 4/23 | Numerical integration, trapezoidal rule, error in trapezoidal rule |
| Mon 4/26 | More on Trapezoidal Rule, Simpson's Rule |
| Wed 4/28 | Quiz 8 (not counted), Review (Chapters 1 and 2) |
| Fri 4/28 | Quiz 8,Review (Chapters 3 and 4) - GOOD LUCK in the finals and have a WONDERFUL summer! |