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  1. MacLaurin representation of sin x.

  2. A pattern emerges!

  3. More examples of solving function problems.

  4. Example in Which Writing Past the End of Array Causes the Return Address of the Function to be Overwritten, Leading to An Infinite Loop, Example in Which Data Is Incorrectly Shared between Two Different Functions, But Can Still be Printed Out Due to the Structure of the Activation Record (Channelling), How Printf's Prototype Uses "...", Which Allows It to Take A Variable Number of Arguments, Why Parameters Are Pushed Onto the Stack From Ri...more

  5. After showing how a double-minimum potential generates one-dimensional bonding, Professor McBride moves on to multi-dimensional wave functions. Solving Schrödinger's three-dimensional differential equation might have been daunting, but it was not, because the necessary formulas had been worked out more than a century earlier in connection with acoustics. Acoustical "Chladni" figures show how nodal patterns relate to frequencies. The analog...more

  6. Imperative/Procedural Paradigms (C) and Object-Oriented Paradigm(C++), Introduction to the Functional Paradigm (Scheme), Which Is Based on Synthesizing the Return Values of Functions, Example of a Scheme Function Definition that Converts Celsius to Fahrenheit, Scheme Environment (Kawa) Details, Scheme Primitives, Scheme Lists, Expressing Functions and Function Calls as Lists, Function Examples: <, >, and, Scheme List Operations: Car and Cd...more

  7. Partial Derivatives of Vector-Valued Functions.

  8. Introduction to the Kawa Development Environment: Evaluation of Expressions, Loading Function Definitions From a .Scm File, Mapping Arbitrary Unary Functions Over Lists in Scheme Using the Map Operation, Mapping List Functions (Car, Cdr) Over Lists of Lists, Using Mapping Functions with More than One Input by Passing Multiple Lists into Map, Implementing the Unary Version of Map Using Recursion, Apply, Which Allows You to Specify a Functio...more

  9. Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions.

  10. Moment generating functions(MGFs), hybrid Bayes' rule, Laplace's rule of sucession.

  11. Probability functions.