What pre-calculus needed for this calculus class?

This quarter, I will take the course "Calculus for social sciences." Here's the description:

"Introduction to differential and integral calculus with applications to modeling in the biological sciences," and "study of differential and integral calculus with differential and integral calculus with applications. Introduction to mathematical modeling with differential equations. Calculus of several variables including an introduction to partial derivatives."

What pre-calculus do I need to know? I bought a quick review book, here's the table of contents. if someone could point out which things I should know, that would be incredibly helpful:

Chapter 2: Functions.

- Relations vs. Functions

- Functions Graphs and transformations

- Combining functions

- inverse functions

Chapter 3: Polynomial and Rational Functions.

- Factoring

- Solving quadratic EQs

- Polynomial division

- Important root-thereoms

- Calculating roots

- Finding rational asymptotes & the "the leading coeficcient test."

Chapter 4: Exponential and Logarithmic Functions.

- Exponential and logarithmic functions

- Properties of Logs.

- Solving Ex. and Log. functions

- Exponential word problems.

Chapter 5: Trigonometry.

- Measuring angles

- Unit circle

- Right triangle trig.

- Oblique triangle trig

- Graphs of sin and cosine

- Other trig function graphs

- inverse trig functions

Chapter 6: Analytic Trigonometry.

- Trig identities

- Proving trig identities

- Solving trig identities

- sum and difference identities

- Additional identities

- Oblique triangle laws

- Calculating triangle area.

- Given side-angle-side

Chapter 7: Vectors and the Trigonometry of Complex Numbers.

- vectors in the coordinate plane

- Dot products

- complex numbers and trig

- roots and powers of complex numbers

Chapter 8: Analytic Geometry.

- conic sections

- circles, parabolas, ellipses,

- hyperbolas

- identifying conic sections

- parametric equations

- polar coordinates

Chapter 10: Additional Topics.

- Binomial expansion

- Ordered number lists.

If someone could help me out that would be awesome, currently Im spending my whole winter breaking reviewing pre-calculus

Re: What pre-calculus needed for this calculus class?

That looks like a good start. It seems to be missing some Algera. If it were me, I'd also want to throw in some Matrix Algebra.