Intro To Calculus 2
About this course
This course is equivalent to second semester college level calculus course. This course has 22 hours of video lectures, video quizzes, and written final exam. This course is broken into six main sections: integrals, application of integrals, differential equations, polar functions, parametric and vector function, sequences and series. Each section is ended with a video quiz.Requirements for this course:Good foundation of calculus 1A notebook to write good notesThe drive to learnTopics that will be covered in this course:Riemann sumSigma notationIntegration rulesIntegral of exponential functionTrig integralsInverse trig integralsFundamental theorem of calculusU-substitutionMean value theorem for integralsParticle motionIntegration by partsTrig substitutionImproper integralsArea between two curvesVolumes with known cross sectionsDisk methodWasher methodSolids of revolutionArc length formula calculusWork and hooke's lawHydrostatic forceMoments and center of massSeparable differential equationsSlope fieldsExponential growth and decayEuler's methodLogistic differential equationsPolar coordinatesPolar graphsTangent line in polar coordinatesArea in polar coordinatesVectorsParametricSequences and seriesNth term testP series TestGeometric seriesLimit comparison testIntegral testTelescoping series
63/100
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- What the provider tells you
- 39/45
- Who stands behind it
- 8/35
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What you'll learn
- understand and apply integration techniques
- solve differential equations
- analyze sequences and series
Course objectives
- build a strong foundational understanding of calculus
- apply calculus concepts to real-world problems
- prepare for more advanced mathematical studies
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