MA142 (Warwick) University of Warwick

Calculus 1

Inequalities, sequences, completeness, series and continuity.

  1. Inequalities: the order on ℝ, graphs and case analysis

    MA142 Inequalities: the order on ℝ, graphs and case analysis, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  2. Absolute values and the triangle inequality

    MA142 Absolute values and the triangle inequality, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  3. Sequences: monotonic, bounded and tending to infinity

    MA142 Sequences: monotonic, bounded and tending to infinity, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  4. Null-sequences and convergence

    MA142 Null-sequences and convergence, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  5. Computing limits: algebra rules, sandwiches, shifts and subsequences

    MA142 Computing limits: algebra rules, sandwiches, shifts and subsequences, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  6. Roots, powers and the ratio lemma

    MA142 Roots, powers and the ratio lemma, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  7. Rational numbers, suprema, infima and completeness

    MA142 Rational numbers, suprema, infima and completeness, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  8. Monotone sequences, Bolzano–Weierstrass and Cauchy sequences

    MA142 Monotone sequences, Bolzano–Weierstrass and Cauchy sequences, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  9. Series: geometric, harmonic and the basic rules

    MA142 Series: geometric, harmonic and the basic rules, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  10. Comparison test, absolute convergence and the ratio test

    MA142 Comparison test, absolute convergence and the ratio test, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  11. The integral test and alternating series

    MA142 The integral test and alternating series, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  12. Continuity: sequential and ε–δ definitions

    MA142 Continuity: sequential and ε–δ definitions, sheet A: questions (PDF) worked answers and mark scheme (PDF)

  13. The intermediate value theorem, inverses and attainment of bounds

    MA142 The intermediate value theorem, inverses and attainment of bounds, sheet A: questions (PDF) worked answers and mark scheme (PDF)