Recall that Σ is the summation of multiple terms from i->n (sequence and series Pre Calc 12). Here you will learn how to write sums in closed form based on sum identities. You will use these in Riemann Sums (3.4) How to sum with a sigma function (cr: Organic Chem Tutor) How to write an…
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5.2 Euler’s Number + Natural Logs
Here we will be exploring how to derive Eulers number (e≈ 2.718281828459045…) and natural logs (logs with the base e, “ln” you may have seen this in previous problems). Very important to know how to derive these so that you can ANTI-derive in future integral problems applying “e”. What is Eulers Number? Derivative of “e”…
Integrals and Applications of Integrals
5.1 – Exponents and logarithms
Recall exponent rules and logarithmic properties from Pre-Calculus and Foundations of Math! These skills will aid you in future integration using natural logs and exponents with chain rule, certain rational functions and differentiation. Here are some videos to jog your memory: Log Properties (vc: Organic Chem Tutor) Exponent Rules (vc: Organic Chem Tutor) Online Notes…
2.1: Polynomials
Polynomial: An expression that contains variables and coefficients ex. 5xy2 – 3x + 5y3 – 3 Term: A term consists of a variable and a coefficient ex. 5x Monomial: A polynomial containing only ‘1’ term ex. 5xy2 Binomial: A polynomial containing ‘2’ terms ex. 5xy2 – 3x Trinomial: A polynomial containing ‘3’ terms ex. 5xy2 – 3x + 5y3 …