Calculus II Preparedness: Assessing Understanding of Calculus I Concepts - Prof. Anneke Ba, Exams of Calculus

Download Calculus II Preparedness: Assessing Understanding of Calculus I Concepts - Prof. Anneke Ba and more Exams Calculus in PDF only on Docsity! Calculus II Preparedness or How much do you remember from Calculus I? This ”test” will help the professor determine how much review is necessary. Students may have taken classes elsewhere and may have covered slightly different topics. This test can help us identify possible gaps in a student’s preparation. This is usually not a problem, but it’s worth making sure. Differentiation 1. Find ddxx 2sin(x) 2. Find ddx x2+3x e2x 3. Find ddxcos(x 4 + 3x) 4. Find ddx tan(x) 5. Find ddxsec(x) Integration 1. ∫ exdx = 2. ∫ sin(x)dx = 3. ∫ sec2(x)dx = 4. ∫ sec(x)tan(x)dx = 5. for n 6= −1 ∫ xndx = 6. ∫ 1 xdx = Riemann Sums Suppose you are given a table for the function f(x) x 0 .5 1 1.5 2 f(x) 1 3 5 2 .5 If I asked you to estimate ∫ 2 0 f(x)dx. You may choose a left or right hand sum. Show work. Would you answer: I do not recall doing problems like this. I have seen problems like this but do not remember how to work them. I remember this. If I remember correctly, the answer is: (provide answer) 1