Makeup tests are subject to updates so check back here right before you take a test. If you miss an exam or unhappy with your results of a regular exam, you may be allowed to replace it with a makeup exam. You are only allowed upto two makeup exams per semester (or one makeup exam and use MyMathLab homework scores to replace another). You are not allowed to retake the final exam. The qualifications to take a makeup exam include scoring a 100% on the corresponding unit extra credit and you may be asked to show me completed textbook and worksheet homework and/or discussing concepts related to the unit with me. The goal here is for you to actually do better on the makeup exam. If you do better on the makeup exam, the makeup score will replace your original score. If you do worse on the makeup exam, your original test and makeup test scores will be averaged. It is best if you do well on all quizzes, extra credit, and homework before the original exam, so you can do well on the original test and not need to take a makeup test. Most makeup exams will be given at the Assessment Center (for online and main campus classes) or at the LCC East testing center (for classes held at LCC East only).

**Makeup Test 1 Time Limit: 70 minutes**

- Be able to solve right triangles.
- Be able to solve applicaiton problems involving right triangles.
- Know your way around a unit circle. I.e. given a point, be able to find other points relative to it in terms of π plus the angle of the given point, etc.
- Know the exact values of the trig functions at key values on the unit circle.
- Be able to find the angle between a line and the
*x*-axis when the line is given in*y*=*mx*+*b*form. - Be able to use the definition of radians to find either an arc length, radius, or an angle when given the other two. The angle could be given or asked for in radians or degrees.
- Be able to solve an application problem where you need to find an angular velocity, linear speed, and/or revolutions per unit time.
- Given the trig function of an angle and an interval that the angle is in or the sign of another trig function, be able to find the angle.
- Be able to find the trig functions of a an angle when one trig function is given and the quadrant that the angle lands in is given.
- Given a trig function at one point on the unit circle, be able to find other trig functions at other points on the unit circle by using the symmetries of the circle.
- Given a trig function's value and another trig function's sign, be able to find the values of other trig functions.

**Makeup Test 2 Time Limit: 90 minutes**

- Be able to find the essential information of a trig graph from its equation such as amplitude, period, and phase shift.
- Understand even and odd functions and be able to apply that concept to trig functions.
- Be able to find inverse trig function values both exactly by hand and approximately with a calculator.
- Be able to match trig functions to their graphs with basic transformations.
- Be able to factor a trig expression and simplify using an identity.
- Given an equation involving
*x*and a trig function, be able to write another trig function in terms of x. - Be able to apply the sum, difference, double, and/or half angle formula to find a trig function at a specified value exactly.
- Given information about a trig function of an angle and what quadrant it is in, be able to find another trig function of double or half of the angle.
- Be able to evaluate composed trig functions and inverse trig functions. You should also be able to do this when there is a sum or difference of trig functions involved as well as when there is a half or double angle formula involved. You should be able to do this with numbers or just expressions in terms of a variable.
- You will be given an identity to prove.

**Makeup Test 3 Time Limit: 100 minutes**

- Be able to solve trig equations involving finding all solutions and solutions in a specified interval exactly when possible and using a calculator when it is not possible. Even when you are using a calculator you need to know how to get the rest of the solutions after you find the first solutions with your calculator.
- Be able to convert a complex number given in
*a + b*form to trigonometric form (**i***r*c*i*s θ) and vice versa. - Be able to solve a triangle for all possible solutions given three pieces of information.
- Be able to find the area of a triangle.
- Be able to graph complex numbers.
- Be able to apply the properties of multiplication and division of complex numbers in trigonometric form to multiply or divide two complex numbers and simplify the result.
- Be able to find the angle between two given vectors.
- Be able to to identify a point on a polar grid with both positive and negative
*r*values. - Be able to convert a polar equation into a rectangular equation or vice-versa.
- Be able to solve a vector equation for a specified vector when the other vectors in the equation are given. Also be able to represent this vector sum graphically on a rectangular grid.
- Be able to solve application problems. Your reading skills should be good enough that you can draw a picture from the descirption and then use your triangle solving skills to find the needed information to answer the question.

**Makeup Test 4 Time Limit: 100 minutes**

- Be able to solve application problems with matrices and your calculator.
- Be able to translate a partially reduced row echelon matrix back into a set of equations and solve the rest of the way by hand.
- Know how to get a specified zero in a 2 by 3 matrix and be able to tell how to get that zero using row notation as follows:
- Be able to come up with a set of parametric equations from a given rectangular linear equation with restrictions on how the points are traced out by specific values of
*t*. - Be able to graph in the
*x-y*plane a graph that is generated from a set of parametric equations. You may use your calculator to assist. - Be able to convert a set of parametric equations involving trig functions, to a rectangular equation.
- Be able to find the equation of a conic section when given some information about the conics characteristics such as focus or foci, directrix or sum constant or difference constant, etc.
- Be able to put a conic equation given in general form into standard form and know what kind of conic it is.
- When given a conic equation in standard form, be able to tell where its key characteristics are located.
- Be able to come up with the equation of a conic when its information is given to you in a manner similar to its definition, e.g. "The set of all points in a plane that are ...."
- Expect to see an application problem involving a conic section.
- Be able to graph or match graphs of conic equations.

**Makeup Test 5 Time Limit: 100 minutes**

- Be able to find terms of a recursively defined sequence.
- Be able to find terms fo an explicitly defined sequence.
- Understand summation notation and be able to evaluate a simple summation by hand.
- Understand summation properties and be able to evaluate a summation using the properties of summation for both simple and complicated problems.
- Be able to find a specific term of a binomial expansion.
- Be able to identify arithmetic and geometric sequences and be able to find recursive and explicit formulas for such sequences.
- Be able to calculate finite and infinite sums for arithimetic and geometric sequences when they exist. Know when a sequence has a sum and when it does not.
- Understand factorial and combination notation and be able to evaluate expressions involving those notations.
- Be able to solve application problems that involve finite or infinite arithmetic or geometric sequences.
- Be able to solve a variety of counting problems.

Back to Course Information Pages

Last Update: Dec. 8, 2016