17A New Book (Stewart)

Practice Problems (Sec. 1.2) Solutions to Practice Problems (Sec 1.2) 

 Exponential Growth and Decay

 Inverse Functions and Logarithms

 Semilog and Log-Log Plots

 Applications of Semilog and Log-Log Plots

 Sequences  (Sec1.6/2.1)  

 Using a Geometric Series to Find the Limit of a Sequence

 Logistics Growth Sequence

 Limits *Note:  There is a glaring mistake on page 7.  See if you can find it!

 The Squeeze Theorem

A Surprising Limit (2.4, #52) 

 Continuity

 Limit Definition of the Derivative

 Estimating a Derivative From Data (3.1, 33)

 Sketching The Derivative From a Graph

 Power Rule and Differentiability

 Product and Quotient Rules, Trig Derivatives

 The Chain Rule

 17A(ProductQuotientChainImplicit).pdf  *Practice Problems!  17A(ProductQuotientChainImplicit)_Solutions

 Chain Rule Interpretation (similar to 3.5, 56)

 Implicit Differentiation and Related Rates

 Related Rate (Mass of Femur 3.5, 89)

 Exponential Growth and Newtons Law of Cooling

 Log Derivatives and Logarithmic Differentiation

 Linear Approximations

 Newtons Method

 Mean Value Theorem

 Finding Absolute Max and Min Points

 Graphing Using the Derivative

 More MVT, 2nd Derivative Test, Graphing

Inflection Point Example (similar to 4.2, #51) 

Dose Response Curve (4.2, #53) 

 More Graphing Examples

 More Graphing and Optimization Problems  

 LHopitals Rule

 Optimization Problems

 Snells Law (An optimization problem)

 More LHopital and Optimization Examples

 Difference Equations and Stability

 Population Growth Recursions (BevHolt, Rickers Curve)

 Antiderivatives

Final Review Problems (Challenor Fall'23) 

 Final Practice Problems