regular chemistry & honors chemistry  [math review for chemistry]

1.  use of conversion factors & dimmensional analysis 

2.  solving simple algebraic equations, e.g. proportions & equation of the form: a x  +  b  =  c;  concept of a "dummy variable", i.e. a variable need not be x or y, only.

3.  calculator use:  entering & interpreting output, e.g. multiplication & division of numbers expressed in scientific notation (e.g.  4.92 * 10 - 4 );  finding log and inverse log (both base 10 & e) of a number 

4.  word problems - translate sentences into algebraic expressions  

5.  multiplication & division of numbers that are powers of ten without a calculator 

6.  graph of the equation:  y  =  m x  +  b; relate a graph & its equation

7.  functions; its domain (e.g  a step function) & influence of parameters on its behavior (e.g. for the function, y = mx + b, m determines the steepness of the line and b determines, where the line intersects the y-axis).

8.  use the quadratic formula to solve 2nd order polynomials 

 

I expect that you know the above items (# 1 - 8) prior to a chemistry course, as such, I will use, but not teach (extensively), the above math operations / concepts.  I expect that these topics (# 1 - 8) were taught in your 1st year algebra course.

 

wish list

9.  vector addition (qualitative only)  

10.  graph & properties of the log & inverse log functions (both base 10 & e)   (link)

11.  solving a polynomial using a graphing calculator to find the x-intercept or using "polynominal solver"

12.  basis of statistical test (t-test, F-test, Q-test, anova); p-value; basis of regression analysis, i.e. curve-fitting 

13.  limits & its properties, including L'Hopital's rule; asymptote of a function

14.  derivatives; finding the minimum of a function; inflection point 

15.  ordinary differential equations & its solution 

 

the above items (# 9 - 15) will be used briefly in the ap chem course, while items # 9 & 12 will be briefly used in both honors & regular chemistry courses.