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Calculus and Analytical Geometry (MATH103)


Description
-It is essential that the material in this course be understood and that all calculations are routine before moving on to Calculus II. I will make every effort to thoroughly cover all concepts during lecture and also be available outside of class to address any questions or concerns about thematerial. The assessments created for this course are designed to be challenging so that you receive accurate feedback on the extent to which the material has been mastered. It is important that you practice effective and efficient study habits in orderto keep up with the material contained in this course and to prepare for more difficult courses to come
Content
  • Finding a point part way between two points | Analytic geometry |
  • Recognizing points on a circle | Analytic geometry |
  • Equations of parallel and perpendicular lines | Analytic geometry
  • assignment
  • Midpoint formula | Analytic geometry
  • Parallel and perpendicular lines intro | Analytic geometry
  • Identifying similar triangles in the coordinate plane
  • assignment
  • Which minions can the wizard reach | Analytic geometry
  • Distance between a point and a line | Analytic geometry
  • Ratios of distances between colinear points | Analytic geometry
  • Distance formula | Analytic geometry | Geometry
  • Classifying a quadrilateral on the coordinate plane | Analytic geometry
  • assignment
  • Newton, Leibniz, and Usain Bolt | Derivatives introduction
  • Introduction to limits | Limits | Differential Calculus
  • Introduction to limits 2 | Limits | Precalculus
  • Limit examples (part 1) | Limits | Differential Calculus
  • Limit examples (part 3) | Limits | Differential Calculus
  • test
  • Limit examples w/ brain malfunction on first prob
  • Squeeze theorem (sandwich theorem) | Limits |
  • Proof: lim (sin x)/x | Limits | Differential Calculus
  • More limits | Limits | Differential Calculus
  • Epsilon-delta limit definition 1 | Limits | Differential Calculus
  • Test
  • Epsilon-delta limit definition 2 | Limits | Differential Calculus
  • Derivative as slope of a tangent line | Taking derivatives
  • Calculating slope of tangent line using derivative definition
  • assignment
  • The derivative of f(x)=x^2 for any x | Taking derivatives
  • Derivative intuition module | Taking derivatives |
  • Calculus: Derivatives 1 | Taking derivatives
  • Calculus: Derivatives 2 | Taking derivatives |
  • assignment
  • Power rule introduction (old) | Taking derivatives
  • The Chain Rule
  • Chain Rule Examples
  • Even More Chain Rule
  • Product rule | Taking derivatives |
  • Derivatives
  • Proof: d/dx(x^n) | Taking derivatives
  • Proof: d/dx(sqrt(x)) | Taking derivatives
  • Proof: d/dx(ln x) = 1/x | Taking derivatives
  • Proof: d/dx(e^x) = e^x | Taking derivatives
  • Proofs of derivatives of ln(x) and e^x | Taking derivatives
  • Extreme derivative word problem (advanced) |
  • Implicit Differentiation
  • Implicit Differentiation
  • More implicit differentiation
  • More chain rule and implicit differentiation intuition
  • Exam
Completion rules
  • All units must be completed
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