MATH 1530 and 1540 Class Notes

AttachmentSize
2.1 The Idea of Limits.docx48.96 KB
2.2 Definitions of Limits.docx60.75 KB
2.3 Techniques for Computing Limits.docx106.27 KB
2.4 Infinite Limits.docx266.1 KB
2.5 Limits at Infinity.docx407.38 KB
2.6 Continuity.docx492.18 KB
3.1 Introducing the Derivative.docx103.27 KB
3.2 Working with Derivatives.docx262.67 KB
3.3 Rules of Differentiation.docx34.14 KB
3.4 The Product and Quotient Rules.docx20.16 KB
3.5 Derivatives of Trigonometric Functions.docx67.71 KB
3.6 Derivatives as Rates of Change.docx215.14 KB
3.7 The Chain Rule.docx23.33 KB
3.8 Implicit Differentiation.docx137.71 KB
3.9 Derivatives of Logarithmic and Exponential Functions.docx156.03 KB
3.10 Derivatives of Inverse Trigonometric Functions.docx87.94 KB
3.11 Related Rates.docx292.2 KB
4.1 Maxima and Minima.docx560.49 KB
4.2 Mean Value Theorem.docx174.24 KB
4.3 What Derivatives Tell Us.docx665.35 KB
4.4 Graphing Functions.docx17.89 KB
4.5 Optimization Problems.docx20.86 KB
4.6 Linear Approximations and Differentials.docx278.05 KB
4.7 L'Hopital's Rule.docx74.54 KB
4.8 Newton's Method.docx107.74 KB
4.9 Antiderivatives.docx207.95 KB
5.1 Approximating Areas under Curves.docx259.61 KB
5.2 Definite Integrals.docx304.13 KB
5.3 Fundamental Theorem of Calculus.docx132.64 KB
5.4 Working with Integrals.docx176.24 KB
5.5 Substitution Rule.docx25.43 KB
6.1 Velocity and Net Change.docx121.78 KB
6.2 Regions Between Curves.docx249.78 KB
6.3 Volume by Slicing.docx1.34 MB
6.4 Volume by Shells.docx529.25 KB
6.5 Length of Curves.docx33 KB
6.7 Physical Applications.docx176.72 KB