Math 150B
Test 1 Review

Test 1 includes selected review material presented in Math 150A and 
Sections 5.4, 5.5 and 6.1 in the text along with prerequisite skills. 
Expect the questions on the test to combine concepts. On the quizzes 
the concepts were isolated in order to identify fundamental problems 
with the material. The following is a list of the types of problems and 
concepts you can expect on Test 1.

1. There could be True/False and/or short answer questions covering 
the topics presented.

2. Recognize the algebraic representations of lines, parabolas and root 
functions and be able to graph them quickly.

3. Be able to write the equation of a tangent or normal line.

4. Know the 6 trigonometric functions, their graphs, how to evaluate 
each at 0, pi/6, pi/4, pi/3, pi/2, pi and multiples of these values and the 
Pythagorean trig identities, double angle identities and half-angle 
identities.

5. Be able to evaluate all types of limits. They may involve trigonometric 
functions, absolute value functions, piecewise functions, etc. They 
could require the use of definitions, algebraic manipulations, such as 
factoring, rationalizing, complex fractions, etc. or direct substitution.

6. Know the definition of continuity and the three implications of the 
definition.

7. Be able to find derivatives of functions using all the differentiation 
rules. This might also include implicit differentiation.

8. Know the Fundamental Theorem of Calculus part 2.

9. Know the difference in a definite and indefinite integral and be able 
to evaluate both.

10. Be able to find the antiderivative of a function directly and by using 
the substitution rule.

11. Know how to find the position of a particle given velocity and/or 
acceleration and be able to determine the total distance traveled and 
the displacement of the particle.

12. Know how to find the position of a particle given velocity and/or 
acceleration and be able to determine the total distance traveled and 
the displacement of the particle.

13. Be able to sketch basic functions, i.e. polynomial, root, cubic, 
trigonometric and find their points of intersection.

14. Set up and evaluate integrals, with respect to x and y to find the 
area of a bounded region.