Roberto's Math Notes
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  • Calculus
    • Prerequisites for Calculus >
      • Prerequisite algebra and geometry formulae
      • 1 Algebra
      • 2 Functions
      • 3 Transcendental functions
      • 4 Special functions
    • Differential calculus >
      • 1 Limits and continuity
      • 2 Resolving indeterminate forms
      • 3 Definition of derivative
      • 4 Basic differentiation rules
      • 5 Derivatives of transcendental functions
      • 6 Derivatives of other types of functions
      • 7 Linear approximation methods
      • 8 Graphical analysis
      • 9 Word problems
    • Integral calculus >
      • 1: Indefinite integrals
      • 2: Integration methods
      • 3: Basics of ODE's
      • 4: Definite integrals and the FTC
      • 5: Basic applications of integration
      • 6: Improper and approximate integration >
        • Basic differentiation and integration formulae
    • Infinite series >
      • 1: Sequences and series
      • 2: Convergence tests
      • 3: Power series
  • Linear Algebra
    • 1: Geometric vectors
    • 2: Euclidean vectors
    • 3: Linear systems and matrices
    • 4: Matrix algebra
    • 5: Determinants
    • 6: Lines, planes and other straight objects
    • 7: Subspaces
    • 8: Linear transformations
    • 9: Orthogonality
    • 10: Eigenvalues and diagonalization
    • 11: Complex numbers
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Chapter D1: Limits and continuity

d1-1_the_concept_of_limit.pdf
File Size: 419 kb
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d1-2_graphical_and_numerical_methods_for_limits.pdf
File Size: 407 kb
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d1-3_basic_properties_of_limits.pdf
File Size: 549 kb
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d1-4_vertical_asymptotes.pdf
File Size: 380 kb
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d1-5_limits_at_infinity_and_horizontal_asymptotes.pdf
File Size: 324 kb
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d1-6_continuity.pdf
File Size: 340 kb
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d1-7_discontinuities.pdf
File Size: 467 kb
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Chapter D2: Resolving indeterminate forms

d2-1_indeterminate_forms.pdf
File Size: 353 kb
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d2-2_factor_and_cancel.pdf
File Size: 260 kb
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d2-3_the_method_of_rationalizing.pdf
File Size: 361 kb
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d2-4_combining_fractions_and_logarithms.pdf
File Size: 179 kb
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d2-5_basic_trigonometric_limits.pdf
File Size: 266 kb
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d2-6_other_transcendental_limits.pdf
File Size: 207 kb
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d2-7_limits_for_parametric_and_polar_curves.pdf
File Size: 269 kb
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Chapter D3: Definition of derivative

d3-1_derivative_at_a_point.pdf
File Size: 367 kb
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d3-2_derivative_function.pdf
File Size: 352 kb
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d3-3_interpretation_and_applications_of_derivatives.pdf
File Size: 430 kb
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d3-4_differentials.pdf
File Size: 377 kb
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Chapter D4: Basic differentiation rules

d4-1_what_a_differentiation_rule_is.pdf
File Size: 278 kb
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d4-2_five_easy_differentiation_rules.pdf
File Size: 331 kb
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d4-3_product_quotient_and_power_rules.pdf
File Size: 532 kb
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d4-4_chain_rule.pdf
File Size: 516 kb
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d4-5_implicit_differentiation.pdf
File Size: 260 kb
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d4-6_derivatives_of_inverse_functions.pdf
File Size: 317 kb
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d4-7_higher_order_derivatives.pdf
File Size: 283 kb
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Chapter D5: Derivatives of transcendental functions

d5-1_derivatives_of_logarithmic_functions.pdf
File Size: 344 kb
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d5-2_logarithmic_differentiation.pdf
File Size: 316 kb
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d5-3_derivatives_of_hyperbolic_functions.pdf
File Size: 328 kb
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d5-4_derivatives_of_inverse_hyperbolic_functions.pdf
File Size: 212 kb
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d5-5_derivatives_of_trigonometric_functions.pdf
File Size: 337 kb
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d5-6_derivatives_of_inverse_trigonometric_functions.pdf
File Size: 338 kb
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Chapter D6: Derivatives for other types of functions

d6-1_partial_derivatives.pdf
File Size: 242 kb
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d6-2_some_uses_of_partial_derivatives.pdf
File Size: 335 kb
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d6-3_higher_order_partial_derivatives.pdf
File Size: 360 kb
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d6-4_slopes_and_tangent_lines_for_parametric_curves.pdf
File Size: 272 kb
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d6-5_slopes_and_tangents_for_polar_curves.pdf
File Size: 134 kb
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Chapter D7: Linear approximation methods

d7-1_linearization_of_a_function.pdf
File Size: 452 kb
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d7-2_error_estimates.pdf
File Size: 367 kb
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d7-3_newtons_method.pdf
File Size: 468 kb
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Chapter D8: Graphical analysis

d8-1_extreme_points.pdf
File Size: 602 kb
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d8-2_first_derivative_analysis.pdf
File Size: 122 kb
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d8-3_second_derivative_analysis.pdf
File Size: 485 kb
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d8-4_lhospital_rule.pdf
File Size: 617 kb
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d8-5_graph_sketching.pdf
File Size: 616 kb
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d8_a1_sample_functions_to_analyze.pdf
File Size: 99 kb
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d8-a2_main_graphical_features_of_a_function.pdf
File Size: 190 kb
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Chapter D9: Word problems

d9-1_what_a_word_problem_is.pdf
File Size: 298 kb
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d9-2_related_rates_problems.pdf
File Size: 298 kb
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d9-3_optimization_problems.pdf
File Size: 488 kb
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basic_derivative_and_integral_formulae.pdf
File Size: 51 kb
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