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Week
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Topics
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Teaching and Learning Methods and Techniques
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Study Materials
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1. Week
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Concavity, inflection point. Indeterminate forms (L’Hospital's rule)
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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2. Week
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Asymptotes, curve scetching
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning; Brain Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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3. Week
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Curve scetching
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Problem Solving
Brainstorming; Six Hats Thinking; Opinion Pool; Station
Problem Based Learning; Brain Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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4. Week
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Differential and linear approximation.
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Problem Solving
Brainstorming; Six Hats Thinking; Opinion Pool; Station
Problem Based Learning; Brain Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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5. Week
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Antiderivative. Basic properties of integrals. Methods of integrations (Integration by substitution, integration by parts)
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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6. Week
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Integration of rational functions. Trigonometric substitutions.
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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7. Week
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Midterm
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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8. Week
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Integration of irrational functions.
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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9. Week
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The Definite Integral. Fundamental theorem of integral calculus.
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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10. Week
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Volumes by the method of cross sections, solids of revolution- disks and the method of cylindrical shells.
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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11. Week
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Improper integrals (I and II. Types)
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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12. Week
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Tests for convergence of the improper Integrals for types I and II.
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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13. Week
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Double integrals
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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14. Week
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Area and volume by double integration.
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Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
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Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
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