Single Variable Calculus

Lecture 1: Derivatives, slope, velocity, rate of change


Lecture 2: Limits, continuity Trigonometric limits


Lecture 3: Derivatives of products, quotients, sine, cosine


Lecture 4: Chain rule Higher derivatives


Lecture 5: Implicit differentiation, inverses


Lecture 6: Exponential and log Logarithmic differentiation; hyperbolic functions
Note: More on “exponents continued” in lecture 7


Lecture 7: Hyperbolic functions (cont.) and exam 1 review
Note: the review for the exam in lecture 7 is not comprehensive because the students already have practice exams available to them. Lecture 8 is Exam 1, so no video was recorded.


Lecture 9:​ Linear and quadratic approximations


Lecture 10: Approximations (cont.); curve sketching


Lecture 11: Max-min problems


Lecture 12: Related rates


Lecture 13: Newton’s method and other applications


Lecture 14: Mean value theorem; Inequalities


Lecture 15: Differentials, antiderivatives


Lecture 16: Continuation: Differential equations, separation of variables
Note: Lecture 17 is Exam 2, so no video was recorded


Lecture 18: Definite integrals


Lecture 19: First fundamental theorem of calculus


Lecture 20: Second fundamental theorem


Lecture 21: Applications to logarithms and geometry


Lecture 22: Volumes by disks and shells


Lecture 23: Work, average value, probability


Lecture 24: Numerical integration


Lecture 25: Exam 3 review


Lecture 27: Trigonometric integrals and substitution


Lecture 28: Integration by inverse substitution; completing the square


Lecture 29: Partial fractions


Lecture 30: Integration by parts, reduction formulae


Lecture 31: Parametric equations, arclength, surface area


Lecture 32: Polar coordinates; area in polar coordinates


Lecture 33: Exam 4 review


Lecture 35: Indeterminate forms – L’Hospital’s rule


Lecture 36: Improper integrals


Lecture 37: Infinite series and convergence tests


Lecture 38: Taylor’s series


Lecture 39: Final review

ឆ្លើយ​តប

Fill in your details below or click an icon to log in:

ឡូហ្កូ WordPress.com

អ្នក​កំពុង​បញ្ចេញ​មតិ​ដោយ​ប្រើ​គណនី WordPress.com របស់​អ្នក​។ Log Out / ផ្លាស់ប្តូរ )

រូប Twitter

អ្នក​កំពុង​បញ្ចេញ​មតិ​ដោយ​ប្រើ​គណនី Twitter របស់​អ្នក​។ Log Out / ផ្លាស់ប្តូរ )

រូបថត Facebook

អ្នក​កំពុង​បញ្ចេញ​មតិ​ដោយ​ប្រើ​គណនី Facebook របស់​អ្នក​។ Log Out / ផ្លាស់ប្តូរ )

Google+ photo

អ្នក​កំពុង​បញ្ចេញ​មតិ​ដោយ​ប្រើ​គណនី Google+ របស់​អ្នក​។ Log Out / ផ្លាស់ប្តូរ )

កំពុង​ភ្ជាប់​ទៅ​កាន់ %s