Syllabus

HW1: Algebraic Expressions (

HW2: Equations and inequalities and exponents and radicals (

HW3: Functions (

HW4: Exponentials and logarithms (

HW5: Limits (

HW6: Intro to differentiation (

HW7: Deriatives of common functions (

HW8: Product and quotient rules (

HW9: Chain rule and implicit differentiation (

HW10: Related rates (

HW11: Optimization (

HW12: Antidifferentaition

HW13: Integration

HW14: Fundamental theorem of calculus

Quiz 1 (due 18 Jan in Blackboard) [soln]: Add $\dfrac{2}{x+7}+\dfrac{3x}{x+2}$.

Quiz 2 (due 25 Jan in Blackboard) [soln]: Solve the rational equation $\dfrac{5}{p-2}-\dfrac{7}{p+2}=\dfrac{12}{p^2-4}$.

Quiz 3 (due 6 Feb in Blackbaord) [soln]: Given $h(\phi)=(\phi-1)^2+\phi$, compute $h(2)$, $h(5)$, and $h(x+1)$.

Quiz 4 (due 13 Feb in Blackboard) [soln]: Find (if it exists) these four things: $\displaystyle\lim_{x\rightarrow 3^{-}} f(x)$, $\displaystyle\lim_{x \rightarrow 3^+} f(x)$, $\displaystyle\lim_{x\rightarrow 3} f(x)$, and $f(3)$ in the following graph:

Quiz 5 (due 17 Feb in Blackboard) [soln]: Tell me where the curve has a positive derivative:

Quiz 6 (due 22 Feb in Blackboard) [soln]: Compute the derivative of $h(x)=7x^2-5x+4$.

Quiz 7 (due 7 Mar in Blackboard) [soln]: Compute $\dfrac{\mathrm{d}}{\mathrm{d}x} \left[ \dfrac{xe^x}{\ln(x)} \right]$.

Quiz 8 (due 14 Mar in Blackboard) [soln]: Let $f(x)=2x^2-5x+2$. Find and classify all local extrema of $f$.

Quiz 9 (due 12 Apr in Blackboard) []: Given that $\displaystyle\int_2^5 f(x) \mathrm{d}x = 3$ and $\displaystyle\int_7^5 f(x) \mathrm{d}x = -2$, compute $\displaystyle\int_2^7 10f(x) \mathrm{d}x$.

Exam 1

Exam 2

Exam 3