Topics covered in Skills Test 1 for MTH 168:

The questions on the first skills test are all based on algebra, trigonometry and precalculus.  The specific topics included are:

1. Solving (monic) quadratic equations with integer solutions.

2. Factoring a difference of squares (not monic).

3. Finding the equation of a line.

4. Function notation and composition of functions.

5. Solving logarithmic equations.

6. Adding rational expressions.

7. Trigonometric values on the unit circle (in quadrant one).

8. Solving exponential equations.

9. Properties of exponents.

10. Finding the domain of a function.

Topics covered in Skills Test 2 for MTH 168:

The questions on the second skills test are based on Sections 2.2-2.4 and Sections 3.3-3.5 of Open Stax Calculus Volume 1.  The specific topics included are:

1. Evaluate a limit by factoring and cancelling.

2. Evaluate an infinite limit (rational function, sometimes one-sided)

3. Evaluate a one-sided limit of a trig functions (Quad I or II, sometimes infinite)

4. Evaluate a limit of a piecewise function and decide if the function is continuous.

5. Compute the derivative of a cubic.

6. Compute the derivative of integer powers of x (including reciprocals/negative powers)

7. Product rule with two polynomial functions.

8. Quotient rule with rational function.

9. Derivative of trig functions.

10. Product or quotient rule with trig functions and linear function.

Topics covered in Skills Test 3 for MTH 168:

The questions on the third skills test are based on Sections 3.6-3.9 of Open Stax Calculus Volume 1.  The specific topics included are:

1. Chain rule with a polynomial (some versions can be done with quotient rule)

2. Product rule with chain rule (derivative of f(x) sin(ax) or f(x) cos(ax) with f(x) = x^n or e^x)

3. Chain rule (derivative of a power of a trig function)

4. Chain rule with inverse trigonometric function.

5. Implicit differentiation (requires product rule and chain rule)

6. Simple derivatives of exponential and logarithmic functions.

7. Simple derivatives of  power rule with negative and fractional exponents.

8. Chain rule or product rule derivatives with logarithmic functions.

9. Second derivatives with exponential functions.

10. Second derivatives with trig functions.